The LLL method seems to be a good one. I have used a very similar method successfully.

I'd just like to add some notes, since I've dealt with mites several times having some snakes that are strictly lizard feeders, picking up w/c animals at shows, and purchasing (not knowingly) infected bedding.

While soaking the snake, it isn't so bad to add some betadine to help sterilize any open wounds as well. Always make sure to put the snakes back on paper towels as this is much easier to see if more mites are still there.

I have also used the "Nix" method which seems to work just as well... creating a mixture using a 2 ounce bottle of Nix shampoo and 1 gallon of water and spraying it on everything (aside from the water bowl - which gets soaked and dried) allowing the snake and enclosure to dry for 24 hours before adding the water bowl back. The substrate gets replaced with paper towels once again (paper towels get sprayed as well).

The advantage to the Nix treatment is it will kill the mites and eggs and has shown not to be harmful to my collection (baby to adult ATBs, BPs, Boas, Pythons, mussuranas, other colubrids). The disadvantage is it is not a lasting effect similar to the Reptile Relief suggested in the LLL method. The PAM will continue to work longer but needs to be reapplied since it does not kill eggs.

Just some of my $0.02