I’ve heard if you empty out your coop then spray it down with bleach let it soak in and rinse it out after ten minutes that will kill all the bugs. I know dish soap will kill any and all bugs and you can spray it on anything plants animals the ground and it is safe
The whole spraying and Rinsing part is an issue up here in the North. I did soak my rooster to deal with his mites but they were much worse than the girls, but it was warmer out. At this point you have to make sure you fully dry the birds before putting them back in the coop.