Let KAYAK do the searching
Based on KAYAK hotel searches, the most popular destination is St. Moritz (29% of total searches to Alps). The next most popular destinations are Innsbruck (27%) and Lugano (24%). Searches for hotels in Sölden (20%) are also popular.
KAYAK users have found double rooms in Alps for as cheap as $47 (Peschiera del Garda) in the last 3 days. The average price is $449.