Be patient! I have only had one hive "swarm themselves to death". Just when you think all hope is lost, boom....the orientation flights begin! I would check again in 10-14 days. I wouldn't be in too much of a hurry. Your self-raised Florida queen will outperform any purchased queen. They would likely supersede her, anyways. Florida bees are a tough stock!
FWIW...I traveled to New England to help my mother with her first hives that were packages from GA, installed in May. I swear, her purchased bees were nastier than any of my colonies....all of which have been 'saves' (removals) and swarms. Give your hive time...it will be worth it!! If they are indeed queenless after a few weeks, they will be more receptive to a new queen...but she will likely be superseded as soon as they have resources to make their own queen.
Do you have a second hive? As a security blanket, you could pull a frame that contains eggs, and add it to the questionable hive. They will start a new queen if they need to. (Not larvae...eggs!) JMO? Leave them alone for two more weeks. Again, that is just one opinion... Good luck!