If you have predator mites that are eating scale and other bad bugs, you would not want to spray them... how do you know that they are predatory mites? But anything that kills one thing tends to kill another so if you have good "bugs" you have to let them do their thing. What kind of beetles? (A lady bug is a beetle, and we KNOW they eat bugs and not plants)
I saw a yellow mite (bigger than a spider mite) moving around on the bottom of the leaf I am guessing it was Neoseiulus californicus Unfortunately I don't have a picture. As for beetles it was Stethorus punctillum I even have a picture of one on the severely infested plant.