In reply to GaryK:
I have been to Cogne 3 years running, normally mid feb/March time.
Price of AirBNB has gone up from £800-£1100-£1600. This year was £1,600 but we had 2 more bodies with us but wouldn't say we got more space, just 2 more beds but it was a nice enough set up.
They have the big cross country ski champs every year (mid feb I think) that we saw this year, a lot of people from France/Italy travel so imagine the airBNB owners have caught on and add a bit for this period of time.
It is a magic place though. Enjoy!