Justin,
I have a glass tank and my humidity level sucked real bad. Last week I installed a UTH, got rid of the heat lamp and, am using just a regular light for day time. I covered three sides of the tank and did the screen top similar to THIS. The difference is I did the treatment to a piece of cardboard I cut to fit over the screen and did that to the cardboard and then placed the cardboard over the screen. I am so happy to report that the cool side stays at around 81 degrees - 51% humidity and warm side is around 90 degrees - 60% humidity. The only heat source is coming from the UTH. Like LG said your tank is a quite big. I also have two of the ACURITE digital readers and I bought ONE OF THESE to control the temp of the UTH. It didn't take long at all to get the temps up enough plus it was a good excuse to have him out of his tank and hang out with him for about 30-45 minutes.
After a week with this setup everything works really well and all of my temps/humidity are on track. He ate last night and seems to be real comfortable with his setup now and I'm not stressed about it either. The tank is in my daughter's room and if she turns her air conditioner on so that it gets really cool in her room I just throw a towel over the front of the tank for the night.