Well the apartment I stayed in had no aircondition. Sounds like a nightmare, right? Nope! When you live in an airconditioned apartment/hotel you never let your body adjust to the temperature. Well if you have a high temperature 24/7 you get used to it. Its not really that bad getting used to it either. The first night when I arrived there was horrible, my sister and I had major problems sleeping. But the rest of the time was fine. All you need are open windows and you'll be fine. (Yes we had open windows the first night as well)
I've lived in Florida and down there the heat was too much for me because I was constantly going in and out of overly airconditioned buildings. In Rome I had no problems at all.


