Thanks for that. It has to be natural fiber and can't be synthetic right? Or fire will melt it to the skin etc. A lot of them are polyester. What do you guy think about this one https://www.amazon.com/Headshion-Skull-Cap-Multifunctional-Headwear/dp/B07P1FXRYV/ref=sr_1_20_sspa
I've not seen anything quite like you've described, but I use a skull cap
https://www.amazon.com/gp/product/B07P1FXRYV
that might work.
This skull cap is what works for me...