I think for specifically what you're looking for, a custom piece from etsy will probably be the best bet. HOWEVER...I'll share an anecdote: my FH decided he wanted a tungsten ring, so we went shopping at a jeweler. The clerk helping us kept trying to sell us gold or platinum, and when we told him we were firmly decided on Tungsten, he confided that we should buy through Amazon, since it was the exact same thing for 1/10th of the price, and that the owner of the store even sometimes ordered from Amazon when his supplier didn't come through in time, and then would just mark up the tungsten a crap ton.
So, I went on Amazon and sure enough I found the exact ring FH and I had looked at for an insanely lower price. I bought it, and then saw the exact same style in titanium. Since they were so inexpensive and Amazon is so awesome, I decided to order both and let my FH try them on and decide which he liked best, with the intent to return the other(s) (but of course, did I follow through? No. FH has six band options sitting in my house now, lol).
Anyway, FH tried the tungsten on one hand and the titanium on the other, and surprised us both after a few hours saying he liked the titanium better. SO, it might not be a bad idea to order a titanium ring on Amazon if you can find one cheap and letting your FH compare the feel/weight of the rings!
Anyway, looking at your specific search... as far as tungsten rings with blue AND texturing, I found:
this: which seems to have that "jewelry store" pricing)
this and this: which both have blue on the outside, but one of your pictures did, so I thought maaaayyybe?
this one: which is the same as the last one, but from Walmart instead
this one: blue AND hammered on the outside
this option: on Amazon, kind of funky and a little different from your photos, but cool and in the general family of blue and textured
this one: another Amazon and looks like an inverted version of the last one in your gallery
this one: which looks like a different version of the last one, also Amazon
and this one: which is a little different on the outside but I've bought from this seller before and it's good quality and the brushing is a cool finish.