This is going to be a weird suggestion, but I used to do professional stage makeup including wigs and bald caps. Has your mom considered getting a partial wig? Maybe a Mohawk or side hawk? It would have to be glued by a professional hair stylist, but it would be an excellent way to have hair but without sweating under a wig. Best of luck to your mom! Losing hair sucks.
I still have dvds and a dvd player like an old person for just this reason.