I don't really have a 'cool side' to my tank. On one side of my tank I have the 84 degree heating pad + enclosure, and on the other side I have my 92 degree heating pad + enclosure. In the middle of the tank I have the water bowl.

You say that the snake does not need to be able to soak in the water bowl.. Would a water bowl that is pretty small, so that the snake can't even fit inside of it -- work?