in my opinion it is not logical to kill the queen at all.
That is probably a good idea. Makes sense to have a plan b. Her brood pattern is terrible and it seems that she was not mated well. Lots of drone cells in worker cell area, makes me think the former. We had lots of cloudy and rainy weather too. My other hives are doing very well in spite of the weather. I pulled honey today for extraction. Just worried they will not build enough for winter this first year.