It looks like the back of the rack is open like the front. I had the same problem with a DIY rack that was open because I keep my house cool is winter.
Place a wired probe in one of the tubs and keep the main unit on top of the rack so you can easily read the inside temp. Cover the front and back with bath towels.
The towels keep the heat inside and the thermostat doesn't have to work so hard. I have nine snakes in a rack that's covered and they're all fine and the temps are maintained well.
Just curious, after hanging the towels (which I think is a great idea)... do you ever lack ambient lighting for the animals? Or do they get enough day light through the sides of the tubs?