I would get a balloclava or something that can cover your whole face if needed.If the temp is anything like now youll need to caver your face. Scarfs are quite good for that i suppose cos you can pull it up over your face, but if its really cold you'll need something designed for the job.
I have a neck gaiter and it works fine. You don't want anything that could come loose and start flapping about while you're skiing which a scarf could do.