UTH Control For Dumerils

[Black3713]

I have a 40 gallon for my Dumerils Boa, with a UTH that's reaching temperatures up to 115 degrees at floor surface and the tank itself is only staying at roughly 68 degrees and the cold side is down to 63 degrees. I know even if I put a thermostat on the UTH its going to continuously run to try to maintain tank air temp. But I am concerned that if I put a basking light it will cycle the UTH off which will cause a cold floor temp and dry humidity due to screen top cage. I just got this set up started yesterday, so Im just trying to get the kinks worked out and get opinions of what you guys think would work best.

Thanks in advance!