If you haven't skied in the Alps before, something to keep in mind is that Alpine resorts are not organized like their US counterparts. So they generally don't have day lodges and can have strikingly little parking for day skiers, etc. A lot of resorts have grown organically, eg, not from a central plan, and it shows in the (what at first seems) haphazard way they're laid out. Others, though well planned (France has a lot of these), are geared toward people coming and staying for a week at a time. So parking, mobility, etc. tends to be based on hotels and their guests.
All this to say that you can lose a fair whack of time coming into an Alpine resort on a day trip, looking for parking, finding a lift ticket office, etc. Smaller resorts are easier in this regard, and obviously, this only affects your day 1, when you're going to try and ski off the plane.
Wherever you find parking, boot up there. You probably won't find anything else. Also, remember that you may lose a little time from first lift out of town to lift you'll actually ski off. That's the downside of those big Alpine verticals! Particularly true in early season, when I guess most of the skiing will be on the highest part of the mountain. At Cervinia, for example, you've got to take two gondolas and a cable car before you hit a slope in early Dec., about 40 min. riding lifts, not counting lines. Course, you'll be jetlagged, so maybe you can nap.
For the record, I've hatched my own plan to have a friend show and ski same day from the States, though we've never put it into practice, yet. Let us know how it works.
One final thought: your arrival day is a weekday or weekend? Should be less traffic, easier parking and fewer liftlines on a weekday, speeding things up a bit.