Re: Pulling queen for late summer split.
I was about to say, "Split off the queen and support for her, then let the big hive with its resources make new queen or queens. Break up the main hive into as many nucs as seems reasonable for the queen cells they make, and enjoy the increase. Feed them up for winter and keep them in 5-frame nuc boxes two or preferably three boxes deep. Stack them side-by-side for shared warmth." Be wary of swarms as fall approaches, and preserve some open room in the boxes for them. You could keep one bigger hive and place robbed brood and resources from the nuc stacks there if you need a place to put them. You'll have all the queens you want that way, and you can recombine at your leisure and to your heart's content.
"I thought I made a mistake once, but I was wrong." (heard often from the late David Sebree) Still making them, myself