Well, sounds like to me you have everything set up right and ready to go! Your dedication to getting the setup right should be applauded, this is the best kind of thing to read from a newbie keeper. "I'm doing everything I need to in order to properly care for my snake, and look, its working!"
Love it! Two thumbs up. I'm sure that 3rd frozen thawed will go right down the hatch.
-Jen