the box your calling a nursery hive, is basically what I would collect a swarm in, does it have around 6 frames inside?
a swarm of bees would be ok in one of those for quite a few months, then as all the frames are filled, moved upto a bigger hive, although not the best weather for doing it in, if we had a nice day you could try a cut out, using a chainsaw to cut open the trunk of blown down tree, and transfer bees from trunk to hive (not for the faint hearted)