I wrote this as you posted. Doesn't really all apply to a tub. I use naturalistic terrariums so its alittle different. Maybe a tub user could give you better help. Sorry.
Check your humidity more on the warm side. Keep the probe more to the warm side, you might find it a bit lower and that your setup is good. If your humidity is good on the warm side then it being alittle higher should be fine on the cool side.
I would suggest getting a IR temp gun. When I started using one I found that numbers were not as good as i thought.
If you find your numbers off, and your setup will allow, you can add a heat lamp. This will kill some humidity. Or you might just switch over to a lamp system. Again, if it will work for you and keeps your numbers good. I Keep a cold home and actually use a uth, ceramic heater, and a set of low watt day/night bulbs for alittle extra heat on my 40 gallon tank.
Another thing that can change your humidity is your substrate. Something like Eco-Earth or Forest Floor is very damp in the beginning and will cause higher humidity. Changing to a dry aspen shaving or newspaper will not raise your humidity and may lower your levels.
This is all guessing for you, not being there I can not be sure of anything. If you do change your heat source remove your snake while you get things right.