The water will drown the mites on the snake, which is why snakes soak themselves, but not all of the mites will die and it won't stop new eggs from hatching. Also, you don't need a lot of soap in the water, just a bare drop so that the mites can't float on the surface of the water so you ensure they drown. Your snake shouldn't look like she's taking a bubble bath.
Otherwise, you can go to a drug store like CVS or Walgreens, or even WalMart, and pick up the lice treatment like NIX or RID. Get the 2 oz (59 ml) bottle of cream rinse and mix it very well with 1 gallon of clean water to make a weak permethrin solution, and pour some into a clean spray bottle (WalMart also has these). You can spray this in your snake's enclosure, on the newspaper/paper towels you use as substrate, and plastic hides. Do not spray it in the water bowl or on the snake!
Wait for the enclosure, hides, paper, etc. to dry completely before putting the snake back. It will kill the mites during the phases when they are off the snake. Keep some treated paper on hand to replace the paper in the enclosure after your snake makes a mess.
Hopefully you don't have a lot of cage decorations either. I run plastic ones through the dishwasher, and wooden hides (which I almost never use) get baked in the oven at 200*F for 30 minutes.
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