Sorry for the delay. What makes you say you have high cortisol, DHEA, etc., when the labs you're showing me reveal pretty normal levels, with the exception of high total T levels?
If your estradiol is still at 400 pg/ml, and this is one of the roots of your problem, then the potential solution is with lower estradiol. There's a drug that breast cancer patients take called anastrozole, which inhibits the aromatase enzyme, which converts testosterone to estradiol. Of course, I'm familiar with this being helpful with males with high estradiol relative to testosterone, but in your case blocking the enzyme will lower any estradiol from you high testosterone, but this will just likely increase your testosterone levels, as any hormone or biochemical which precedes an enzyme that's slowed down (such as through anastrozole) will only build up, having nowhere else to go. This is good for guys: low-dose anastrozole means less estradiol, leading to a build-up of testosterone. But you're probably looking at ovary-related estradiol being high, and not the estradiol that's aromatized from testosterone; different stories.
In your case I wonder if there's a female equivalent you can use to decrease testosterone. Hyperandrogenism in females is a decent indicator of adrenal hormones being high, as half of your testosterone comes from your adrenals. The licorice and prednisone, however, appear to have lowered your other adrenal hormones, as well as ACTH, to reasonable levels, and ACTH is actually too low -- but you sometimes have to take this at a lower level if you supplement with prednisone and licorice, which basically becomes cortisol, and cortisol goes via negative feedback to turn down ACTH. So it looks like, given your low ACTH levels, that your testosterone likely isn't adrenal.
Which means it probably has something to do with ovaries, and that just isn't an area I know much about. So maybe your high total T (and reasonably good free T, but this is a questionable test for many docs, who rely more on total T) is coming from elsewhere. This graphic might seem overwhelming, but is incredibly useful for understanding female hormones (from a peer reviewed journal article). Know that the solid lines mean they increase what the arrows are pointing to, and dotted lines mean they inhibit.
As for acne and such, you should get your DHT levels pulled, as dihydrotestosterone is usually the culprit with acne issues for males and presumably females. It's a metabolite of testosterone, just like estradiol is, so most docs just blame testosterone when DHT is usually the problem. Of course, you want to reduce testosterone, not just block the enzyme that converts T to DHT (5a-reductase). Males do this through a drug called finasteride, for help with baldness and also prostate issues.
Hashimotos definitely can be a major player here (interestingly, you need cortisol to get thyroid into cells, so keep that in mind). I'd recommend getting Dr Barry Durrant-Peatfield's incredible thyroid book, Your Thyroid and How to Keep it Healthy, and if you're going a step further, Stop the Thyroid Madness 2, with chapters by different doctors on different thyroid-related subjects (including one on glucose and its influence on hypothyroidism, where Metformin helps with hypothyroidism), edited by Janie Bowthorpe from the Stop the Thyroid Madness site. The antibodies in Hashimotos or any autoimmune disease can be related back to diet, such as gluten sensitivity (which releases antibodies, which can sort of "cross pollinate" and create antibodies for your thyroid and other areas), food allergies, and so on. Stopping dairy and gluten might be worth a whirl; give it a month and see how you feel. You can try food allergy testing, but know false positives can be high.
Hypothyroidism by itself can cause your fatigue and other issues. TSH isn't a foolproof method for determining thyroid status, as it can be affected by stress and autoimmune issues. The real stuff to look for is free T3 and free T4, with free T3 being what you want to focus on, being the "engine" of the thyroid, the thyroid in turn being the "engine" of the body. Ideally you want free T3 to be in the upper fourth of the range.
I wonder if your cortisol -- again from the prednisone and licorice -- is too high. Again, cortisol is the amazingly important antistress stress hormone which "tells" the hypothalamus to slow down on its release of CRH, and CRH (as you can see from the complicated graphic linked above) is in a positive feedback loop with norepinephrine (NE). Well, CRH and NE positive reinforce one another (are in a positive feedback loop), so as one goes up the other is up too and vice versa. Okay, so if you have low ACTH, this likely means you also have low CRH, which also means low NE. And low NE means low epinephrine -- and both of these are important as stress hormones, but also are on a "background" state relative to the time of day, being dictated by circadian rhythm as well as individual stressors. So what am I trying to say? Maybe too much cortisol, from too much prednisone (remember that 1 mg of pred = 4 mg hydrocortisone, and most people need 20 mg of hydrocortisone as sufficient cortisol replacement) and/or licorice, is causing your NE, CRH, and ACTH to be too low, and the low NE in particular (and the epinephrine it stimulates) explain some or most of your fatigue.
But assuming your estradiol is high, I don't know if you can look into inhibiting aromatase, simply because I'm ignorant of how estrogen (including estradiol) is made in female bodies. Does it come "plain made" as estrogen from the ovaries, or does it start as testosterone and get hugely converted to estrogen? I don't know. You might want to look into that. Check out something like "inhibitors of estradiol". I have a few routes below.
The first is through lowering estradiol, which can be done through sometimes high doses of iodine. I'd recommend David Brownstein's good and breezy read on iodine, and he covers stuff like breast cancer, estrogen, and cysts, as well as autoimmune and otherwise hypothyroidism. He mentions Dr Jonathan Wright (excellent interview with him by Mercola here, where Wright mentions iodine), who studied(see the very bottom) the effect of I think 1-3 mg of iodine on women's estradiol and estrone levels, which decreased dramatically after a few months with increase in estriol (three major estrogens: estrone, estradiol [most potent], and estriol). Dr Wright says this is theoretically only possible through estradiol --> 16a-hydroxyestrone (carcinogenic estrogen) --> estriol. There's a good deal of controversy as to how high you should go with iodine, with Brownstein and others saying up to 50 or even 100 mg daily, and others limiting it to under 1 mg per day. Brownstein and others note the daily intake of the Japanese, who consume 13.8 mg per day and have the lowest levels of thyroid, breast, and possibly prostate cancers in the world (iodine basically hitting any gland in the body). I was on 30 mg of iodine and had to gradually lower the dose as it saturated my tissues, and it is one potent element, and definitely saved me from a lot of pointless estrogen- and possibly thyroid-related energy, brain fog, and mood issues. There are iodine-savvy docs out there, and I found a few just by googling a few years ago when I was looking for a doc willing to prescribe naturally dessicated thyroid. You might try the same.
That's iodine. I also recommend David Derry's book on breast cancer and iodine (I know I'm giving you a lot, but all these books could change your life), but I haven't read this one. DIM would be helpful in changing estrogen pathways much like iodine, but whereas iodine changes things by increasing the 16a hydroxyestrone pathway (this chart gives you an idea of where I'm coming from -- start from the top) which decreases estradiol in favor of estriol, DIM works by increasing the 2- and likely 4-hydroxyestrone pathways (look to the top of the graphic). What does this mean? That estradiol and 16a hydroxyestrone are "drained away" as the pathways mentioned above are increased. Plenty of women take DIM for this reason; you might not notice much if any change in estradiol, but it's the changes in the estrogen metabolites (2 hydroxyestrone, etc.) that are the big deals here. DIM would have nothing to do with your hyperandrogenism, but rather to high estradiol levels.