Thank you all for your comments and suggestions. I've been running the CHE on the Herpstat, and things appear to be going well. Although I have the Herpstat set to a daytime temp of 104, it never quite gets to that point. However, I think that is because the Herpstat probe is mounted vertically (instead of horizontally) to the wall of the tank and the center of the CHE is about 4" inches from the wall of the tank. I have a digital thermometer attached to the wall of the tank immediately next to the Herpstat probe, and that thermometer will register 102.x during the day. A large fake log that reaches to the top of the tank is positioned directly underneath the CHE. I've also added a hammock below the CHE, and have seen the beardie basking both on the log and the hammock.

We tried to add some porceline tiles to the bottom of the tank last weekend, but we couldn't find any that would fit nicely, and I ended up breaking the tiles when I tried to cut them with a tile cutter. As a result, we're still using paper towels as a substrate.