Crans Montana I found was nice on my one visit there. Check on booking.com for something perhaps.

Impossible to suggest anywhere without knowing what sort of environment you are looking for: lake, mountains, countryside, small town, village

Trawl the internet putting down for instance farm stay, chalet in mountains or go to the big sites as Jeffery suggests.  There are all sorts of availabilities

I really like Villars sur Ollon. 

Would a chalet in La Tzoumaz suits you? Very beautiful view and cosy for 10.

Check out airbnb I'm a member in the uk and have sourced places to stay in geneva and currently in a farmhouse in france for a few months whilst we secure a long lease in the area. You can search by destination and then add to favourites for future reference. so I already have places in zermatt, morzine, chamonix, verbier and a whole host of other destinations saved down. It works on an ebay feedback system so you can see what other people have to say about the place and you as a guest. It's blowing the doors of the hotel industry at the mo, currently valued at circa $10b and causing a bit of a stir in the press. 

Ive ve also booked this for next week just outside morzine, they'll do a summer rate for you. It's on the way to the ardent ski lift so a short drive from morzine itself.  As others have said it depends on what you want and where you want to be, if you are willing to drive etc. 

http://gomorzine.co.uk/winter_home.html

Check out homelidays.com. Chalet and apartment owners use it to advertise and take reservations. 

Thank you brian, fantastically useful info.

i've heard of air b n b but never actually used it- definitely worthy giving it a try though!