I think BSM would be a good base for the Paradiski area if you're looking to save money. Hopefully, one of the members in France can come along with more details.
The only issue I have with your plan is the idea of switching to different ski areas (Three Valleys and Espace Killy in addition to Paradiski) every couple of days. I see this a lot from my fellow North Americans when they plan trips to Europe, and I think it's because of the size difference between North American resorts and European resorts.
The thing you have to keep in mind is that these ski areas are absolutely massive. The Paradiski area has over 130 lifts and over 2000 m (~7000 ft) of vertical http://www.skiclub.co.uk/assets/maps/images/largemaps/752.pdf
. Moreover, the Espace Killy has about 80 lifts and a around 1700 m of vertical, and the Three Valleys has around 180 lifts and 2000 m or so of vertical.
I use this analogy a lot, but I think it's the best way to understand it if you haven't skied in a big European resort before. Switching resorts every couple of days would be like driving to a movie theater to watch 30 min of a film, then driving to another theater to watch 30 min of another film, then driving to a third theater to watch 30 min of a third film, then driving home.
If you're only going to be in Europe for a week, then there's no need to change resorts every couple of days. The Paradiski area alone has enough terrain to keep you entertained for more than a week. Plus, you'll save money if you just get one 6-day pass rather than 3 separate 2-day passes, not to mention the savings on travel.Edited by CerebralVortex - 11/1/13 at 4:20am