shaking the hive out works great if you send them off to join other hives. if you give them back the old hive the laying workers just fly home and commence laying again.
Good followup Kathy. I of course was commenting on shaking of bees and trying to save the original colony. I guess that needs to be pointed out for new beekeepers in the future. So I'll make a mental note on that. As if that will mean anything.
Rob, your last question really only has one option or outcome....a dead hive. I don't think you have several weeks of resources left to use a queen introduction frame. And even if you did, I doubt they will be strong enough for winter prep. So without new brood and bees from another hive, you might just be looking at a bad situation that has no real good endings....
You might just save your self the cost of the queen plus shipping, and many dollars and effort on sugar, and just use that money come spring on getting a strong local nuc with hardy northern genetics.