To answer your questions;

1. No, the UTH isn't regulated by a thermostat. When i got it the guy said I wouldn't need one.

2. I have dial Temp and Humidity gauges. I know people say to have digital ones, but I'm not sure where to get them.

3. The gauge is 1/2-1 inch above the substrate, tops.

4. I'm using aspen shaving.

As for bathing her, I was going off what my cousin was telling me, but she also didn't have to do that very often because her snake liked its humidity box. I can't get Yuki to stay in it, though, and it took browsing around a while to find a method that worked to raise the humidity.