I have a small solid state amp (Forte' 4a) that runs pretty warm, and I leave it on all the time. I have air, but the thought of trying to deal with a real 'heater' amp in the Summer with no air is a challenge. The heat it produces will be an issue. But if you leave the windows open and use fans... you may not notice much of a difference. Windows closed, you are asking for trouble.
Also, does your electrical supply stand up to the task of running a big amp. (no air conditioning = old building, poor electrical service?)