all you need is a single frame of brood, steal it from your nuc or something else, replace with an empty frame (i would even replace w/ med frame if I had to, and let them build off the bottom of it, but that is just me)
preferably with eggs, I have never tried just capped brood, not sure if this would work they wouldn't be able to raise a queen from it and this is generally part of the process, so ...
you might be able to get the bees to stick with just a frame of capped brood, then combine with another colony of your own.
you will need a fully functioning hive (w/ queen) after 6-8 weeks anyways to rob out all the honey stores. why not give them something to do raising one..
don't count on getting the queen to leave/ or enter your hive