IMO, NOT a good idea.
Disturbing the cluster ( Jiggling the hive), when it's really cold out, COULD kill them.
The wind break, inside a building might work. The problem there is IF the bees get dis-oriented and try to enter the wrong hive you'll have a war.
Heat COULD cause them to break cluster and get stranded, due to a mechanical failure.
I would try to increase ventilation in the hive, drying it out some and pray for better weather.