Funnily enough, a friend of mine was complaining about this exact issue with one of her bps just a few days ago. I asked her what she did about it, and she said just misting the snake's face didn't work but a short bath did the trick. I'd definitely try the misting option first before opting for a bath though.

I doubt it would be a huge issue for the snake if it stays in there, beyond just being uncomfortable, but if you choose to wait it out it'll probably just dry out and fall out on its own, or, failing all, a shed would take care of it.