Torq,
Apologies for this clumsy revision, but I have not been able to edit my original post. It should have read:
With respect for your local customs and your unique ecology, I still don't get it.
You have a single hive of bees. You are prepared to risk 1 prime swarm and up to 5 casts from that colony. This would almost certainly make your single colony unviable.
You say that you have culled 10 QCs and left 6. So where's the logic in your actions ? Why not leave all the QCs?
While Queens will indeed fight to the death in nature, it seems odd to deliberately manage a colony to provide the potential for multiple mass exodus and/or a "battle royal" of the virgin Qs.
My advice would be to bring in some new genes by requeening from outside your immediate vicinity, with a better-tempered strain. If, as you say, all the bees in your area are "angry", it may be the result of allowing that characteristic to run riot through the management customs which you articulate. It may be worth trying something else.
On the number of QCs, I would recommend two for a single colony (insurance) and would want to select unsealed cells, ideally, where evidence of royal jelly and healthy larvae can be seen.
To repeat, bee-proliferation and beekeeping are not the same thing.
Apologies for the varroa, by the way...