It sounds like you have a good set up and you have already received some great advice. I can only think of one thing other than what has been said. I'm guessing you have two hides in your tub? Are they identical or different? A BP will chose which hide it feels more secure in regardless of its health if there are different hides in the enclosure. If they are the same I wouldn't worry too much. Everything else sounds good!
Oh, and welcome to the site!