... can't be done. All the rooms but one are locked off, and the one that isn't won't let you rest without a fireplace (which you can't make inside). The one with the refugee is the unlocked one.

Err..did you try the inn room with all the beds?

The one room with beds, that also has the NPC that gives the quest for Rock Garden should let you rest.

Oh, that's new? I remember resting in one of the locked rooms earlier...

No, it isn't new.