i wouldn't anything getting painted "bake" anywhere. It needs to be drying in a dry place but also at a reasonable temperature. Read the can of paint that you are using, it will tell you a temperature range. Also you want to put the primer on thick, but not too thick. You want it to cover everything, but not so thick that it drips. Google how to paint a car or something, many people have painted stuff before. Find a guide that works for you.