I am a bit confused. Are you using the UTH for the hot side or the cool side? Is the lamp on the same side as the UTH?
You could get a dimmer for the lamp and use that for the cool side and use the UTH for the hot side. Make sure you have a probe measuring the temp of the UTH.
Your flukers thermometer/hygrometer should be towards the bottom of the tank where the snake spends most of its time,not at the top.