I think covering the tank will definitely help as well. Mine is covered on 3 sides with a dark towel.
The only question I have is does that interfer with the day and night cycle. I can definitely try that but if its constantly dark is that a bad thing or am I misunderstanding. Also how long would u say I should keep the towel on the cage?
Bp's do not need a day and night cycle. As long as the tub is getting in light from the room during the day, he will be fine. Most all of us with tanks blacken out 3/4 sides because it makes them feel more secure.