A UTH is not supposed to heat the air in the tank, its only purpose is to heat up the glass on the bottom of the tank to give your snake a basking spot. It won't do anything for the ambient air temperature.
All of your heat sources should be regulated by thermostats. If they aren't you can overheat and burn or kill your snake.
As you've discovered heat lamps suck all of the humidity out of a tank. Normally you would run just one and cover the rest of the screen top with foil to keep the heat and humidity inside the tank.
Feed in the enclosure. You do not want your snake to associated leaving the enclosure with being fed, that is what will cause it to bite when it's out and being handled.We will have to feed her in a few days so to not handle her should I feed her in her tank or in a feeding tub? Before we got her she was fed in her tank but I wanted to feed her in the tub so she wouldn't associate put hands with food. But if we shouldn't be handling her would in her tank be better?