I think the white glues tend to break down faster with sweat.

Ultra Hold isn't a white glue and it says its waterproof.

There are other 'hard bond' glues like Sensibond and Endurabond, but again, these can be hard to clean up and can shorten the life span of your hair piece.

If you google these brand names along with the word 'reviews' you'll be able to read up on other people's experiences and opinions.