Yes, you just lay it flat.
I'd remove one of the paper towels so you only have one towel, and adjust the thermostat accordingly. For there to be 2 paper towels layered and the hot spot is 92, it makes me think that UNDER the paper towel against the glass is probably around 98, which isn't safe. (unless you mean the hot spot is 92 under the paper towels)
When I used paper towels in tubs, I just washed out the tubs with water. I use F10 mix solution once a month.