Don't worry about your BP, he knows how to thermoregulate, all you need to do is double check your husbandry, making sure the cool side has a surface temperature of 78-83 degrees and the warm side has a surface temp of 88-93.
If you temps are in these proper ranges your BP will thermoregulate with no trouble.

For measuring surface tempatures I would reccomend a IR thermometer, such as :www.tempgun.com

As for the humidity that sounds normal, you want to maintain at least 50% humidity in the enclosure. However the condensation dripping down can cause mold growth (aspen substrate tend to get moldy quickly), so remove any substrate that starts getting moldy. To maintain proper humidity I'd recommend cypress substrate, it's great for retaining humidity and naturally inhibits mold and fungus growth, something like www.serpenturf.com.