Ive only been keeping bees for four years but have tired what you propose or a variant of it. When I find a hive with swarm cells I remove the frames with swarm cells on them and put it into a nuc box with a frame of honey and if I have it to spare some capped brood. This ends up being two or three frames total in the nuc. There are usually a frame of nurse bees going in on the queen cell frame. As it turns out the queen or queens will hatch and hopefully mate. It's sorta of like a mating nuc idea. I have to feed all summer/fall and still they don't usually buildup because they just don't have the labor force to forage and run the hive.
It does provide an emergency queen for requeening or if you will add a frame of capped brood periodically and you have a good autumn flow then they can take off and build up. Mine did not survive the winter because of low population. I'm going to try combining this fall or just requeening using a newspaper combine and see how that goes.
You have to watch small hive beetles, wax moths and robbing...
Florida would offer a longer season to build and a warmer climate so you might have something going there.