Let KAYAK do the searching
Based on KAYAK hotel searches, the most popular destination is Matsue (46% of total searches to Shimane Prefecture). The next most popular destinations are Izumo (31%) and Gōtsu (15%). Searches for hotels in Okinoshima (8%) are also popular.
KAYAK users have found double rooms in Shimane Prefecture for as cheap as £18 (Matsue) in the last 3 days. The average price is £75.