Welcome to the site!
UTH's when regulated properly are great for tubs, but as it sounds like you already know unregulated they get way too hot (130+ F)
Your BP needs a hot side temperature ranging from 88-92 and a cool side temperature between 78-82. No part of the cage should ever get above 95 or below 75.
Make sure that the cage doesn't stay too wet, ideally humidity in the tub will be between 40% - 60% and the substrate shouldn't be wet to the touch (damp is ok)
Make sure your substrate layer is 1/2" thick or less for your UTH to work properly.
If you have any other questions feel free to ask!