How about creating your own "shook swarm" with the nurse bees from the Langs? Once your new queen for the TBH is here, go get some bees from your Lang hives. Set aside the Lang frame with their queen, then go thru the frames and gather the frames of open brood that have bees on them. These will be the young nurse bees for the most part that haven't been out of the hive. Once you have a bunch of these frames, take the new queen over to the TBH and hang the cage. Then frame by frame, knock/shake the nurse bees into the TBH. Add a feeder, and plug the holes with grass. Check back in a few days to see if you have new comb and a freed queen.