Let KAYAK do the searching
Based on KAYAK hotel searches, the most popular destination is Como (47% of total searches to Italian Alps). The next most popular destinations are Zermatt (29%) and Chamonix (15%). Searches for hotels in Cortina d'Ampezzo (9%) are also popular.
KAYAK users have found double rooms in Italian Alps for as cheap as $10 (Aosta) in the last 3 days. The average price is $326.