Assuming you're in the U.S.? Snake mites are not native here...they're from imported snakes but then they're shared with all other captive snakes nearby. Ticks can hang on thru a shed, & where mites are native in the wild, I'd assume they just get right back on, even if shedding knocks them off.
I'd wait on the bedding too...any surviving mites can hide lots of eggs in that. If you want more humidity, just use damp paper towels or a sponge in a bowl for a temporary humid hide.