To add to what BHPReptiles mentioned, the probe from the thermostat should be on the outside of the enclosure. Not only can the snake dislodge it, it can also pee on it or spill water on the probe, whichever happens, this would cause your probe to sense a lower temp and cause your UTH to spike in temp. I would recommend using the thermostat to regulate the temps and then use either a IR gun or a wired thermometer to verify the temps your UTH is putting out.
I would also double check your output mode, if its not already, set it to dimming, it could be set to cooling mode, when this mode is enabled this will simulate a on/off style thermostat, this could explain what you are experiencing.