direct heat that is too high is not good, but I've found the biggest trouble to be the humidity. I love using paper substrate but mulch definitely has it's place. I've lost eggs before that were laid on paper while I was away for a long weekend because they dried out. Even putting in a cat litter pan with slightly moistened sphagnum moss can be helpful. (there is no guarantee that they will actually lay in the box, but even just having it in there will help raise the humidity in the tub) Or, like Deb said just temporarily replace the substrate in the entire tub.