If you have a thermostat, you don't need to protect the snake from the UTH, because that is what the thermostat is for!
Well, having a display is always nice, but with BP's I find you end up displaying a bunch of fake plants and not a snake. Maybe one day you will see the magical light of tubs
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I am glad that you are getting her in your hands finally!
You don't really need the daylight bulb. Ambient light from the room is sufficient. They are nocturnal anyway so they will just be asleep.If it gets too cold, you could get a space heater.