As in most skiing resorts in the Alps there are plenty of different categories of living to choose from in La Polsa. There are more expensive hotels, cheaper hotels, apartments or cheap guesthouses. A good selection would be the hotel La Polsa, a two star hotel, which is conveniently located close to the lifts and the village.
Trekking in the-
Gran San Bernardo
Here is an excellent link on how to get there. Wherever you are going.