Sorry to hear this I cut mine to the ground and it has got down to 20 in Fl. and holds it ice in the dishes out side i mulch heavy. You can drag them in like you said and handle it the next day. You have your work cut out for you either way.
if you should dig them next day potting them take 95% of leaves off pot with 50% pearlite so they don't sit soggy and you should be good