I think the reason you haven't gotten any responses for your question is the regulars on this forum don't store daylilies over winter. If we divide in the fall, we replant immediately.

Obviously, daylilies can be stored since we see them all the time in the big box stores in bags. They aren't in the best of conditions when you get them, but they often will grow for you. I am not sure of the methods these producers use. I googled the subject and found several websites information about storage. One that looked promising is https://www.gardenguides.com/83722-store-daylilies.html. 

Just so you know, many of these general garden sites have incorrect information about daylilies. One such piece I found is that daylilies grow from tubers or rhizomes. That is, in fact, incorrect. They grow from a crown with roots. Those large fleshy things on the roots are indeed just roots. Some develop the fat ones and others don't.

Good luck on storage. I hope they make and give you beautiful flowers next summer.

Oh what a shame that they didn't get planted before now . I would recommend you pot up and place outside for the winter ( You could bury the pots under leaves if you have some way to hold the leaves in place. Also potting them and then placing the pots near the foundation of your home might provide a little protection for the roots. Barring that if you have a garage you could pot and store in the garage till spring . No guarantees that the plants will survive but better than leaving the roots exposed or plunked in a box somewhere where they could dry out completely.