Running a UTH unregulated (with out a thermostat) is a really bad idea. They can reach temps of 130 degrees or more, which is hot enough to cause serious thermal burns or even kill your snake.
The reptile carpet is little help. If your snake burrows under the carpet it can make the situation even worse. (I know, everyone thinks they have it set up so the snake can't get under it, but everyone is usually wrong)
If your UTH is unregulated, my advice is to turn it off until you can put it on a thermostat, or even a $12 light dimmer from Home Depot.