I spoke with a man at the damp-rid company and after telling me damp-rid would not be suitable for my needs he recommended a small electric (condensation based, not chemical based) dehumidifier, such as the ones people use in gun cabinets. The non electric, chemical based ones can dehydrate the animal, where the other only takes moisture from the air.
I did remove the water bowl I was using and the humidity dropped to 30%, but it spikes back up at night after his lights are off so I am going to get one and run it at night, and see how it works out. I will let you know if it works well.