Just a soak in a tub with an inch or two (I'm old, so around 30mm) of water, and a couple of drops of dishwashing detergent to act as a wetting agent will drown the mites in 30 mins - they die very quickly as long as they get properly wet, which the detergent facilitates. Betadine is an antiseptic, not an insecticide, so it serves no purpose in killing mites. The bomb you have used contains an insect growth inhibitor, which will prevent any hatching mites from developing into adults - it's a hormone that stops them from moulting through their stages into adults, so it's not a poison as such. The bombs contain both a fast knockdown insecticide which kills mites (and cockroaches, fleas etc) on contact - in the two hours or more you leave the room closed, and the hormone growth control chemical for ongoing control for a couple of months. This is long enough to ensure that any eggs which might hatch won't produce mites which go through to adulthood to breed again. The mite lifecycle is only a matter of weeks.
As has already been suggested, quarantine (placing new acquisitions in isolation - another room is essential) for about 12 months is absolutely necessary to reduce the chance of contaminating your existing collection with mites and more importantly, potentially devastating viral diseases which can take many months to show up, and may wipe out every snake in your collection.
Jamie