Lets see, you can use a light to heat your tank. I have used heat pads and heat tape in the past, but now I just keep my snake room at a steady 80-82 degrees with a drop in the evening to about 72-75. I don't use any heating devices at all. Constant winter and summer. As far as mice, it is better not to use live. You can purchase frozen mice from many online suppliers as well as pet stores. You do have to thaw them before feeding. Make sure that they are completely thawed with no cold spots.
A good book to purchase that is a big help to any corn snake owner is the "Corn Snake Manual". It is a big help with most questions that you may have.
Good Luck and have a GREAT DAY!!!!!
:wavey: