You will fail miserably. I hate to say it but I'd put money on it.
The reason it will fail miserably is nothing natural is 100% and you can dunk and spray and wash every leaf by hand at the perfect intervals but there are still going to be mites all over hidden in various places in your home or coming back from scouting missions or coming out of hibernation. (yes, they hibernate)
I strongly advise you cut straight to the chemicals, what you want is floramite sc and you can get small bottles of it from a few ebay sellers online for as low as $15.
Floramite works, is systemic and long acting and kills eggs and any mite that even tries to touch your plants for 3 weeks from application.
You can only do it while in veg, same with a lot of things. You will not be able to dunk or even spray water after they're in flower and that's the time when they'll go from nothing to millions before you even have a chance to finish the grow. You know it will take 2 months (or so) to flower, and the mites will take advantage of it, trust me, I know what I'm talking about.
All natural is fine, when appropriate. Maybe your next grow will be mite free and can be fully organic. This one can't, you have too much of a problem already.
c02 to kill them sounds nice, but once you see them on your plants they are also in your walls and under the house and in the attic and wherever else they decided to explore. Kind of like ants, they really do a lot of recon.