I don't have experience with them, but from what I've heard and read over the months of research I've done, provent-a-mite works well, but pest strips can be a health risk if fumes are strong in the tank. I'd probably use provent-a-mite since I've heard good stuff about it. But it's up to you.

I also thought the mites from a parrot would most likely not be reptile mites. They probably were mites that you seen, but maybe not reptile mites. Which would mean they probably wouldn't feed off of your snakeys. Still good to get rid of them though, of course.