Thanks for all the info. I was not really thinking of a splitting procedure when I posted but my post seems to have been interpreted that way. Still interesting and helpful. I was thinking more about modifying the queen isolation procedure to make it less complicated (at least for me).
In your proposed solution your are in effect relocating the brood chamber. The queen will be temporarily honey bound in the honey super but the workers will soon begin moving stores around in order to give her laying space. Any break in brood rearing is short lived. Much of that relocated stores will probably be moved back down into the brood chamber the queen was moved out of and back filled which creates a new honey bound situtation all over again.
I was specifically wondering what you think the result would be if...after the summer honey flow (for me August 1st), while the temps are still warm, I move the queen up above the main brood chamber into a super of foundation and then place a queen excluder between that box and the existing brood chamber below. This isolation would function the same as the "three frame queen cage" method but allow easier monitoring and mite removal. I was wondering how the bees might react to that separation (queen separated from the existing brood chamber by a queen excluder)?
Chances are the workers will build supercedure cells in the displaced/abondoned brood chamber resulting in a dual queen or swarm or both to occur. When trying to isloate the queen outside the brood chamber the rish of the workers seeing this as a lost queen situation is high. It would be better to use a frame sized push in cage to islate the queen during the brood dearth period. But even then prolonged isloation can trigger suspercedure.
Would they raise a new queen down bellow?
Would they not care and just move up with her?
The foragers/workers are going to be through out the hive, the nurse bees will remain with the brood, so in that sense they will not move up with the queen and may see her absence as queenlessness.
Would something else happen that I cannot foresee?
You could end up forcing the bees into swarming mode.
By trying to interrupt the brood rearing in such a way you will end up with 3 boxes that are part brood chamber and part storaged intermixed.
Consider: Feral/Survivor bees are more hygenic in nature, some of that hygenic behavior seems to be a self-imposed brood dearth (cease in laying) that many beekeepers are mistaking for a queenless hive. If you look at who are reporting the majority of these supposed queen loses it seems to be tilted towards the hygenic strains of bees like MH, Russians, and Carnies. A brood dearth is what you are trying to create, why not go chemical free (natural) and let the bees revert towards survivor stock and they'll provide your brood dearth themselves.
IMO, you're overthinking the equation.