This is an "accident waiting to happen"- probes should never be inside any tub or enclosure, because sooner or later the snake WILL find & move it- and once it's no longer over the UTH it will read as being much too cool, which will make the t-stat kick on high & that heat could injure or even kill your snake, especially since it might be quite some time before you even notice it. I strongly suggest that you re-install the probe outside the tub- underneath & sandwiched between the UTH & outside floor of the tub, & secured in place there, & adjust your t-stat accordingly.Safety first.
Sooner or later, snakes accidentally "find" wires & probes inside their homes, & since they always seek traction (things to grab onto because they haven't any hands or feet), they will tug on that probe & dislodge it. I truly don't want to read about your beloved pet getting cooked.