leave your swarmy bees .....be. Lest you have more swarmy bees.
have a plan! ....i.e.... you remove several capped swarm cells from your swarmy hive that suddenly turn into 4 emerged queens.
Kentucky does not have 20 days in the fall where temps fall into the "acceptable" temp range for "natural" mite treatments.
don't buy $80 swarm traps off the internet. They don't work and you don't want those bees anyways.
Treatment free wave of the future. Hives that swarm, brood breaks when they are queenless, and not a whole lot of honey. But, a lot of bees.