Oh predatory mites are better and ladybugs NEVER stay. And they can't eat enough to make a difference...
I think the blower with Diatomatious earth is the best. Pyrethiens are last case emergency.
Using water and wind to knock down the population is good.
Also I use 25% alcohol and 75% water to get the eggs and mites. They hates it. Spray under leaves and tarp off pots.
It also works great as a dunk for vegetation. Just don't get the alcohol in the roots.
Mites are a special kind of war. I usually have them as unless you are running crazy chemicals they happen.