A local hydro store rents out a fogger machine

You put your solution in it and it works like can foggers but you spray it yourself. if you know what I'm talking about can you tell me if I can use a regular store bought fog machine and fill it with mighty wash and let it run in my basement

Nope, two different machines. The fogger your hydro store rents is to ensure complete coverage on the plants your spraying. Would I rent one, no!! You never know what chemicles have been run throught it

I'm at my wits end with these mites tho I think I'm going to have to

I just use a gallon hand sprayer with lots of pressure and the nozzle closed to make a fun mist. As for the mites try the calicleaner in the bugs section. Be diligent and you will win with a all natural chemical free spray. You will need a respirator and goggles and gloves when you spray. Good luck to you.