The Greenwich based Ski Company often has 'filler' places at very low prices- just check with them if you, a couple, a small group or family fancy some last minute deals. They do have groups coming over from UK that do not actually fill their accom to full capacity- and will sell the last few places at really low rates. Just check with them: firstname.lastname@example.org
or call 020 8858 9535.
They are based in Torgon, Portes du Soleil, but also do weeks in Crans, Les Crozets, Arosa, and more.
This is NOT an advert- I've been a very happy customer for about 20 years- bringing so many school, family and friends groups with the Ski Co. Just tell them (Gerry the boss, Ollie or Becky his right hands) that you are in CH and do not need transport. They do their own excellent in house ski and snowboard rental, are right next to the slopes linking to the whole to the Portes du Soleil- work very closely with the Ski/snowboard school that is in the same building, and the Gold Test ski shop, in the same building too- their own brand. Tell them (or not- I get nothing from recommendations- that Odile sent you). Look the up on FB too. Staff are all Brits, Kiwis and Ossies.