Weave Chronicles: Day 20 - Damp and Wet Tracks

So, I think I might be one of the few people with a weave on my head who has tracks in a perpetual state of wet/dampness! The paranoia of my hair mildewing is getting to me. The last thing I want to think about is standing in the crowded elevator going up to my office and everybody is smelling some sort of mustiness/10-day old washcloth smell! The thing is, I work out everyday - not just the light 30 minute jog - I mean like a hardcore 45 minutes stairmaster workout with some harcore 15 minute ab routine thrown in at the end - all of this...with a sweatshirt on! So naturally I am just pouring sweat from underneath my weave cap and my tracks get pretty soaked with sweat (ew?). What's worse, is that I usually work out at night, around 8pm so I usually only have two hours to let my tracks dry before I go to bed and they are usually still damp anyway. It's a hassle to say the least - I am scared to wake up with an inescapable smell of mildew! In any case I try to combat this by washing my hair every 4 to 5 days. The only problem with this is I have to do this early in the morning before work (like five hours before) or on a weekday morning because it takes about an hour to hour and half for your tracks to try using a hooded dryer. The more hair you have sewn to your hair the longer it supposedly takes. I don't see any way to mitigate track wetness unless I just give up on working out hardcore all together. Any suggestions would be welcome!