I don't have any kids at home, but I've taught middle schoolers long enough to recognize the stench of puberty. And the girls can smell just as bad- they just bathe more often and use perfume.
Here's what I would do:
step 1-spray the stripped mattress with white vinegar
step 2- spray shoes with Lysol
step 3- open the closet and dresser drawers and hose it all down with white vinegar spray
step 4- lightly sprinkle baking soda into the carpet
step 6- open the window
step 7- close the bedroom door
step 8- come back in about 30 minutes and vacuum like crazy
I know you said you don't want to lose heat, but it's just as hard to bring the temp back to normal in the summer when you're running the AC and open the window.