You've gotten some good advice, but a really powerful fan can make a big difference here. Doesn't need to be cold so much as move as much air as possible to help the sweat evaporate.

I used to play live music. Stage lights and dive bars can be very hot. I also sweat a lot. A squirrel cage fan blasting me full power in the face and upper body made a huge difference. It was the kind people dry flooded carpets with.