You can take a Eurostar to Lille, stop over and then catch TGV to the Alps in the morning, with some TGVs are direct to the Tarentaise and others via Lyon.
If your accommodation is Sunday - Sunday, you can use the new direct Eurostar London-Lyon service to create a stopover journey to the Alps, arriving in resort before those who fly and skiing the Sunday you arrive. Nice.
Think you need to travel to the Alps straight through in one go? Think again! By stopping over a night in Paris, you can catch a wider range of TGV trains the next morning.