Let KAYAK do the searching
Based on KAYAK hotel searches, the most popular destination is Cortina d'Ampezzo (32% of total searches to Italian Alps). The next most popular destinations are Zermatt (32%) and Chamonix (25%). Searches for hotels in Riva del Garda (11%) are also popular.
KAYAK users have found double rooms in Italian Alps for as cheap as $99 (Bolzano) in the last 3 days. The average price is $560.