Let KAYAK do the searching
Based on KAYAK hotel searches, the most popular destination is Kagoshima (73% of total searches to Kagoshima Prefecture). The next most popular destinations are Yakushima (19%) and Kirishima (5%). Searches for hotels in Ibusuki (3%) are also popular.
KAYAK users have found double rooms in Kagoshima Prefecture for as cheap as $29 (Kagoshima) in the last 3 days. The average price is $129.