Melody,
Whats your method for keeping humidity in? Yes he will shed fine as long as he can soak in that tub, but thats not the issue. Chances are whatever you are doing to seal the top (saran wrap, foil, ect) isnt going to work. My first water monitor died because I had a "method" for keeping humidity and heat in and thought it would be fine. I couldnt figure out why he wouldnt eat much and spent all day in his water bowl. And there are dozens of identical stories on these forums. Get rid of the screen top aquarium or he will develop a "mysterious illness" and die. period.
And about taming? You mean like this?
You have to NOT touch them, and even then theres no promises. The whole idea of "working with them" is a myth. You have to stand back and let them come to you like in the video.