I think it sounds plausible, worth a try at least. If you have a 5 frame nuc, just take 2 frames from each hive, one with brood and one with nectar from each, make sure you have the one queen like you said, and make up a nuc. Add in one frame of foundation and Shake in a frame of bees from the strongest hive if needed for good population. Hopefully it will deter the one from swarming and give you a nuc with queen to build up into a hive.