I did some maths on the optimal levels to leave your BK and AQ (I'm at work so I can't upload that right now.) I looked at the number of hits to completely clear a MAX TH9 base, and how each level corresponded with the level before. There are some levels where the number of hits only went down by less than 5. (Also did the same with TH10, and got similar results.)
From my maths, the AQ grows pretty evenly at each level but the BK has huge jumps at a few levels. The levels are 7, 12, 16, 21, 27. These are the levels you want to stop your BK at. The AQ optimal levels are 6, 11, 17, 21, 25.
Also, I think your BK should always be at a higher level than your AQ. Reasoning is the longer your BK stays alive, the more damage the AQ can dish out.
So from this maths, I would do:
King to 12, AQ to 11
King to 16, AQ to 17
King to 21, AQ to 21
King to 27, AQ to 25
Courtesy Reddit....

