Neem oil is a good ipm addition. Perfectly safe for plant and humans. Just spray every 3 days tops and bottoms of leafs. Only thing is you have to spray every few days for the neem to be effective.
It interferes with the mites ability to either reproduce or eat. So after all the mature mites die, the eggs hatch and those new mites then never reach maturity to breed. Cycle them with other pesticides is a good idea as well.
Just make sure to thoroughly spray and stay on top of 3 day intervals and you'll win the fight.