If you place a queen in a hive that has a virgin, the bees will kill the "interloper".
I would suggest making a nuc for each queen, with 3 frames, where you can shake the bees off and be sure there is not a virgin coming with the combs. YOu need to add bees too, don't get me wrong, and you need to feed those new queens' nucs really well, with pollen too - so it is some work. There won't be foragers for those queens.
But... this means the queens will emerge in a new-queen friendly colony.
Heck, you could combine the swarmed colonies, so you have 3 instead of 6. Then place 3 nucs for the new queens where there are foragers, less work!
No equipment for 6 (or 3) temporary nucs? Well, look up "queen bank" - put those queens (still in their cage, but no risk of being let out) they will be taken care of until the virgins either come back... or don't. You'll want to wait a week from 7/11 to check for virgins back or not.
Good luck... I do not keep swarmy stock, and I am suspicious of daughters of swarmy stock. seems like it just gets worse with successive generations.