KevinIsPwnIt may not make your teammates happy or whatever, but having a (kinda loud) fan will help with cooling for the closet idea and also provide some white noise so you don't seem as loud to your parents.
You could also get a nice cardioid mic and talk a bit quieter. I use a blue yeti and it can picks up words that i mouth into it.
Thanks for the advice :D I think I will run a fan, I do now and because of where it is placed I don't hear anyone complain about it (I place it so it all blows under my desk to keep my legs cool)
I've also invested some time and... "money" (not keygens I promise) into programs to reduce background noise that seem to help