In reply to Dogwatch:
When you say beginners ice do you mean total beginners? If so celliac is probably ok, but even WI3 can be pretty steep, and it is all multi pitch rather than top ropeable .
Bolted belays though and easy walk off a big path at the top.
Argentiere.... well there is the cremerie, which is probably better for absolute beginners, especially the easy stuff on the right hand side (you can actually set up a top rope on some of the bottom bits by getting to them from the side I seem to remember) but.... other than that there isn't anything you could get on that's under scottish V ish really and once you ab in you are pretty committed.
If the focus is more skiing than climbing you could do cremerie for max two days maybe and have good skiing, but if you want climbing with a little bit of skiing then celliac is probably one of your best bets. It is high as well so likely in condition throughout feb.