The few times I had to deal with mites I did not need to "bomb" the room so that the carpet would get treated. Simply treating the snake with a product designed for on-snake use and then treating the enclosure/tub and paper towel substrate with PAM per the package directions was sufficient. Be sure when the snake makes a mess and you have to replace the paper towels to pre-treat them with PAM and allow them to dry first.
PAM does not kill eggs, but it kills the females when they leave the snake to lay eggs, and it kills the newly-hatched mites when they travel to the snake to feed. This is why it's important to re-treat the tub or enclosure weekly, and the paper towels when you replace them.
I also found it easier to apply the Reptile Relief by spraying it onto a paper towel and then wiping the snake with it, instead of spraying the snake directly. It was less stressful on the snake, and less overall product used. Also you can put a bit on a Q-tip and swab the cleft under the snake's chin as that's one place the mites love to hide.