Most of those products can cause nerve damage to the snakes. I take the perimeter defense approach to that situation, and use those no-pest strips between double doors to prevent the bugs from wanting in.
You're going to have to change all the bedding at least 2 or 3 times, because of the life cycle of the bugs.
Have you seen those bugs on the snakes?
Examine the snakes closely to see what you're dealing with.
If you can actually see the bugs, then they're prolly ticks, if all you can see is dusty white powder ON the snakes (Then it's mites.) I am not too familiar with the rat/mouse bugs since I haven't fought that battle yet. An ounce of prevention and all that. They make mite spray, although I haven't used it, it will still prolly be necessary to clean the cage, and putting your snakes on something easy to clean like paper towels so that you can clean the cages every few days until the infestation is gone.
Most of the nerve damage will occur after 24 hours, so if you do choose to hang a strip in there when you start cleaning, check back with them every few hours and check that the snakes can all hold their heads up, and they don't develop the shakes.
If you see symptoms, get those strips out of there immediately and air the place out. At that poing you might as well clean the cages again, just to make sure all that work isn't in vain.
Quarantine procedures are your friend.