You're in Fla right Judy? I would say that whatever the ambient temps are current are what's right for him. Yes I would stop feeding him for the winter, I also wouldn't use a heat lamp. If you think he does need a little supplemental heat I'd put a very low powered heating pad under one side of the cage. I'd shoot for keeping temps above 50 if possible, but as long as it doesn't get down to freezing he should be OK Corns are pretty tough.