There are several different EO atomizers that work well. Long time ago, I saw one that looked like a mini-fogger and something like that might be useful because the molecules would be able to penetrate furniture, etc.
I've experimented on/off with using the resins of frankincense & myrrh on incense charcoal. I've noted that it controls fungal spores [at least, I don't smell anything for a very long time]. I suspect that the smoke penetrates those areas deeper where a chemical can't; such as, carpeting, floorboards, etc.. I'm talking off the top of my head, but what if the raw herb Neem and/or Fennel could be sprinkled on charcoal and have the same effect on mites?
You could also try putting a small amount of Neem (and other EOs) oil in a spray bottle, along with a very small amount of apple cider vinegar and water to saturate the furniture.