in your situation, I think I would try to get a swarm. your currently vacant hive
should be very attractive to swarm scouts looking for a new spot. might want to take the honey out, though, so that you don't get robbers instead of scouts. spreading your drawn comb into several different bait hives in several different promising locations will increase your odds.
in the mean time, while you're waiting for a swarm to inhabit your bait hives, get the word out that you're looking for swarms. diversify.
plenty of folks do splits the way you're describing, though. you just want to make sure you get a frame of eggs as well as brood. workers can make queens out of new eggs, but not out of brood.
a split is an artificial intervention, though, so the bees won't really be in an ideal situation. a swarm, on the other hand, is ready and willing to populate a new space.