Isn't there a way you can put the air conditioner at a lower setting and have it run full time to cool the air somewhat and then keep it at a consistent temperature?
Otherwise, you'd be better off to have a fan on in the room to circulate the air rather than having the temperature fluctuate back a great deal in a short amount of time.
Make sure you have plenty of clean drinking water available for them. If you have bird baths for them, set those up as well. Make sure the dishes used are wide and shallow and don't put more than an inch of water in the dish.