I hope you can make sure night-time temperatures are enough cooler than in the daytime. That air-conditioner has me concerned.
Anyway, without more information about that, here's what I would say:
C. Chinense peppers seem to like more moderate conditions than some other kinds of peppers. If you want to grow a Habanero-like pepper that can do well in extreme heat, I recommend Aji Habanero. It's C. Baccatum and it grows well in my area where I've had trouble with C. chinense peppers (in part, I assume, due to the heat; it's not rare for it to get above 40°C. in the summer (although we don't have much humidity at all and things can dry out fast).
I recommend growing peppers either in the ground with mulch (e.g. pine bark mulch), or in containers. Either one seems to make a big difference for me. I like to use 10-gallon totes (that's what I used for Aji Habanero).
As for other suggestions, I might recommend trying Sweet Banana Peppers, Louisiana Long Pod okra, Sausage tomatoes, Brandy Boy tomatoes, Sweet Orange Cherry tomatoes, Torpeda melons (and some other muskmelons), West India burr gherkins, summer savory, basil, sunflowers, Jerusalem artichokes, Elberta (I think) peach trees, nectarines, Stanley Plum trees, sorrel (if you shade it), and other stuff. These are all things that have done well in the heat for us, anyway. You might also try horseradish.