Yeah, they're semi-flexible... used for drilling holes in top and bottom plates of walls by way of an outlet or wall switch cut out.
Like one of these.
EXACTLY how I do it. I have a flexible shaft bit (4 feet long) for it, but otherwise, exactly the same.
https://www.amazon.com/MAGBIT-MAG-777-inch-Fish/dp/B005M29JN0
The drill bit I linked to has a hole for attaching a cable to and pulling back through the holes
Amazon has this one.
If you have enough room, you could use a couple of rigid extensions. They are usually 16-18 inches long. More than one can be used at a time.
I would also suggest a cable fish pole. They are more rigid than a fish tape and easier to push straight down/up a wall.
Don't listen to /u/Brian373k, unless you want to put a huge hole in your wall that you have to patch. They make drill bits specifically for doing this sort of work. The bit is long (72 inches in this case) and flexible so you can feed it into your existing hole, down the wall cavity, and drill though the cross member while keeping the drill outside the hole. You can get a handle for the bit that help you keep it bent and hold it without chewing up your hand. These are available at Home Depot or Lowes in the electrical section with the fish tapes, often for less than amazon is asking. Check out the pictures and videos here for a demonstration on how they work. The handle isn't necessary, but does make it easier.
I did a single room install a few weeks ago that required me to punch a hole up into my attic. I ended up using a box attachment for my oscillating tool: https://www.harborfreight.com/electrical-box-cutout-saw-for-oscillating-multi-tools-56666.html. Makes patching the hole super easy since you can use the punched out drywall as the perfectly sized plug.
You can then use a flexible drill bit to punch into the attic from the hole: https://www.amazon.com/dp/B005M29JN0.
My first thought is to give a fish bit like this a try.
Do you also use those long flex augers blind?
Get one
Hard to tell from the photos and it will depend on how it's framed. If you're moderately handy, it shouldn't be a big problem though.
This is how it's usually gone for me in the past in my house. I'd cut a section of the drywall out between two studs maybe 18" to 24" high on each floor and then get a flexible auger bit like the one linked below to drill through the floor and celling plates.
Once you have the holes between the floors than it's just a matter of fishing the line through. I usually try to use the auger bit itself to pull the wire back through once I've drilled through the plates/floors. It can get a little tricky if it's an exterior wall with insulation or you pick a bad spot and run into obstacles in the wall.
You'll get some good experience repairing small sections of drywall which in my opinion as a homeowner is always something you want to be able to do.
https://www.amazon.com/MAGBIT-MAG-777-inch-Fish/dp/B005M29JN0
I have some longer than this but this one is 6 feet.