I have been to a ski resort once, and admittedly it wasn't the most ritzy or romcom suitable, but they still had a largish lobbylike area where you could curl up by a fake fire, drink overpriced cocoa, and watch the skiers outside.

At age 10 it might have been less feasible but at 13 she's definitely old enough to let her stay there, or in the hotel/cabin (and 13 is exactly the age where "you're old enough that we can trust you with some adult responsibility instead of dragging you along" works magic.)