I'm actually thinking about doing a hive or two like you described with my Snelgrove board this year, so I'd be interesting in hearing about your method as well, Bill.
I usually will split a colony if I'm looking for increase, just because I feel it's easier than letting them swarm and having to catch it. I really don't do anything fancy though, I'm not even sure what the "name" of this split is or anything, I just sort of divide up the colony however seems best. I'll move the frame with the queen, a couple frames of stores, and a couple frames of brood into another box. Then I just let the original hive make a new queen, and everyone is good to go. I just be sure to remember that the section with the new queen is going to lose foragers to drift back to the original colony, so I need to be sure they have enough food to withstand that lack of nectar coming in, and of course, I make sure the section that is now queenless has plenty of eggs.