Let KAYAK do the searching
Based on KAYAK hotel searches, the most popular destination is San Carlos de Bariloche (36% of total searches to Patagonia). The next most popular destinations are Puyehue (27%) and Pucón (18%). Searches for hotels in El Chaltén (18%) are also popular.
KAYAK users have found double rooms in Patagonia for as cheap as $14 (Pucón) in the last 3 days. The average price is $214.