Accom for single skier at Verbier/La Chable area

Just FYI, I got an email today from the Swiss Tourist Office to say that the new winter transport timetables will be available from 9th November, so you should be able to plan a public transport itinerary for the winter season, as of next week. Go to www.sbb.ch As I said, we usually use the 'Swiss Transfer Ticket' offer - this gives you a discounted return rail journey from one 'point of entry' e.g. Geneva Airport to a single destination and is only available to non-Swiss visitors.

Hello.
Really really need some advice! Im planning on going to Verbier over Christmas week to visit my partner who works out there. I need accomodation near to the centre and just for me for that week. I can't afford much though. Anyone any ideas of cheap rooms or anything like that? Wouldnt mind being in a satelite village if they are loads cheaper, but dont ski...so bit concerned about how easily id be able to get to Verbier centre?
Argh! Help please!
Thanks!!!
Steph x