>  Does anyone keep a 3-deep broodnest through the honey flow and see an
>improved honey harvest with a lesser swarming tendency?


Answers to this will depend on where you keep bees...the strength and 
duration of your flows, and the srtength of your colony.

Here, I see reduced swarming...for awhile. The bees aren't so apt to 
get ahead of you in spring...around Dandelion/fruit bloom. But, you 
still have to manage your bees, queens, and super properly.

If the colony is strong, and the queen prolific, you will have 
improved honey harvest. But, if colony isn't a boomer, or the queen 
is slow, the top brood box will get much of the crop. As a 
compromise, I mostly use 2 deeps and a medium.
Mike 

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