You should NOT have any tape in the tubs. Hotglue will work if you must place a thermometer probe in the tubs.
When you place paper towels in the tub they usually create a gap between them and the bottom of the tub. This gap will cause the temp of the tub floor and the top of the paper towels two different temps. To test this you can place something that is heavy on the paper towel so that the towel stays in contact with the tub floor. This should give you a more accurate temp of what you snake will be getting as it rest on the paper towel as it stays in direct contact with the heat source.
Know that you snake CAN get under your substrate and the all the temps in the tub need to be snake safe.
I trust my temp gun and no longer use probed thermometers because they constantly die.