either way your probe is 1/4 inch off the tub floor!
so 1/4 away from where your snake sits is 88 degrees i bet that bottom of the tub is much hotter than that!
dont you have a temp gun!
at this point you dont want to listen so take your snake to a vet im done with trying to help. your on your own and that beardie should be cleaned and setup properly! im sure you will be in here more times.
oh yea perhaps you should look at some rack sites where they say to place the probe!