My pn had me in the same spot. Couldn't stand the touch of materials. Found that "Sherpa" blankets were the trick for me.

Thanks for giving me a Monday morning chuckle with your humor, it helps ease the pain of this frustrating thing we’re going through!! 😊
I hate thinking that Gabapentin is addictive, like an opioid, but my body almost always knows when it is time for my next dose, especially with the heat/cold intolerance part. In these parts, furs are hard to come by at the Goodwill Store, but I can seriously imagine how that would work in bed as you described (you should try to patent a concept for something like that for bed!)
I ran out of Gabapentin once, had to walk into an urgent care and pay for the appointment in order to get a prescription for s 30 day supply, all of which took painful time and more money, and of course my prescription plan balking and saying I wasn’t due for a refill. I take 3 a day, religiously, with permission to take 4 on a very bad day. That happens about 5 times a YEAR to take an extra Gabapentin. I have no doubt in my mind that the reason I ran out of Gabapentin before my prescription refill was due was because the mail order company had to have shorted me on the last shipment. When you get a 90 day supply, that’s supposed to be 270 pills in 6 different bottles, and I admit I did not count pills when I got prescriptions filled (I didn’t back then anyway). Despite me discovering 3 weeks in advance that I was somehow going to run out of Gabapentin earlier than due, and trying to align the prescription company and my doctor with the stars to get me a new prescription before I ran out, it didn’t happen, and boy was I in misery. The only other time I was in such misery was during a somewhat routine non-neuropathy related 2 day hospital stay where despite Gabapentin being on my medicine list, they decided it was ok to do without while there, as if it was a One-A-Day vitamin. (Easy lesson I learned there, make sure I know better what to provide on my own when I pack my overnight bag now)
Anyway, long story short, like you and most of us, we do know Gabapentin is the best a lot of us have in helping the pain from from heat/cold intolerance, and just overall nerve pain, tingling, and numbness. Since I occasionally (very rarely) would take 4 pills a day vs 3, my good doctor I had back then when I ran out wrote my next mail order for the quantity of 4x a day, and that prescription has been re-ordered by new doctors as well. I have so many bottles in inventory now I have to boldly label them to make sure they’re used in order and delay refilling if some are getting too close to expiration. I don’t want to have to throw any out, I honestly hate wasting meds. But I’d rather throw one away than ever running out of Gabapentin again, unless there’s a sure fire substitute over the counter we could have instead.