Could always knit your snake a wool sweater (or would that be a sock?).

I would think moving the enclosure to a new location might be more stressful. The big temp is ambient. So long as that get taken care of even in your cold room I don't feel you should worry.

Now if the ambient temp in the setup drops too much like under mid 70s that might be a different story but so long as it keeps close to where it should be, they can handle a little temp drop. Surface temps aren't as bad because as long as that UTH keeps up with the cold, your snake will have a place to keep toasty.