That works and I’m able to do that for my Boa in his tub however if the room isn’t a dedicated snake room the room temp at 75+ may be a bit much for human comfort. I only see ambient temps in my tub at 8o-81 on a good day. My tub is maybe 5 inches deep, room temp is 76 and any warmer I would not be able to sleep. Sadly, This is in a second floor apartment with better insulation than a drafty basement I’m guessing. My BP,s are in glass tanks so better in that sense.
An after thought I guess is how deep is this tub suffico. The lamps should be far enough away to keep the snake safe. You could use a CHE with a dimmer if it regulates temps like it would a UTH.