I commonly treat insects that thrive under arid conditions with a simple method, it wont hurt the plant:
I water it well, then take a plastic bag or foil and rubber bands or some tape and simply cover the plant with the plastic, to make a nice "humidity tent" and seal it around the pot. About two weeks and many mites and other bugs will be extinct (because in the two weeks time not only all bugs died from humidity, also all eggs hatched and the resulting bugs died before having a chance to reproduce). Then the plant should be fine, one can simply take the bag off. Cut down plastik jars and bottles work too, depending on size, just be creative, aquariums, plastik boxes ... Everything works.
Also simple but effective: "wash" the plant with a rather harsh jet (?) of water, it will effectively remove the bugs mechanically.
Also submerging the plant completely in water for a few hours wont really bother the plant but the bugs.
The two last methods may be more rewarding if you make sure the soil stays in the pot, maybe by wrapping it around the stem, or putting some mesh over it or just being gently.
If the plant doesnt do well itself (non insect related) because of low humidity, you can "train" it to accept other levels of humidity in a given range. Again put it in any enclosure, make sure theres a small vent, and increase the effectivity of the venting by either increasing size or count of vents day by day. Shedding of leaves can occur, they will be replaced by leaves that are more tolerant to arid conditions.
Saros: demineralising water by osmosis or destillation will greatly help humidifiers
Regarding insect sprays: make sure you inform yourself about the mechanism it utilizes, some for example are simply meant to be sticky in the pores of bugs and have them die, unfortunately some plants can not tolerate theese and will die too from having leaf pores clogged.
Hope they get well soon