4 week ski accommodation for Italy or Switzerland, where to look for

Hi, can anyone advice me where should I look for 'long-term' 4 week non expensive accommodation for 'snowgirl'? I'm planning long ski-stay this year, haven't chosen yet weather it'll be Italy (Val di Sole) or Switzerland (around Saas Fee) but don't want to spent all of my savings on it so looking for something not expensive for 1 or 2 persons?

Does your budget stretch to something like a small studio apartment in one of the satellite resorts of a major resort (where the prices will be lower)? You'd expect to get a discount for a month. I'm thinking of somewhere like Nendaz or La Tzoumaz in the Swiss 4 Valleys. Or Champéry in the Portes du Soleil? Just take a look at the local websites and contact the Tourist Office - they should have the local contacts to get you a good deal. They may also be able to help you get discounts for skipass (and equipment if you need it).

Saas Fee is not cheap-very expensive. If it must be Italy look at Gressoney/ Champoluc, Monterosa area-all excellent value.