I could use some guidance from a more experienced beekeeper. I am in my 3rd year but have a problem I don't know how to solve. I installed a new package into a nuc 10 days ago. 2-3 frames of the nuc were already drawn out and may have had a little honey/pollen on them. On inspection today, I already found several supercedure cells. In fact, there is already one capped queen cell! I was amazed they could do this so fast. The worst part is I found cells on the outer frames with 5-6 eggs in them, so I am guessing I also have laying workers. I did not take the time to try to find the queen, but I did leave the queen cells intact. So how do I deal with this?
1. Is there any chance they would try to raise a unfertilized egg to a queen and thus I have a drone in my queen cell?
2. I see a procedure to rid the hive of laying workers it to take the hive a few hundred feet away and shake off all the nurse bees and then put the hive back so they can't find their way back. This seems like it may not work with a newly installed package in a nuc, as I would likely lose most of the hive this way, not leaving enough to be viable. Nights are still cold here in Cincinnati.
3. I have also read that when the new queen emerges, the laying workers will kill her vs. accept her.
So any ideas on saving this hive and the $109 I just spent on the package? The intent was for this to be my utility hive, thus the nuc