You NEED something to regulate the heat or else your animal will get thermal burns. Especially if you are using a UTH. A UTH will get MUCH hotter then the acceptable range of temps. Plenty to slowly cook your snake.

You can still use a RHP with a screen top. You can mount them on the side of the glass.

The problem with CHEs is they get very hot and they kill humidity. You should know that cold climates generally have very low humidity making it even harder to keep humidity up in the tank. That is really my only concern when using them. Bad sheds are no picnic.