Let KAYAK do the searching
Based on KAYAK hotel searches, the most popular destination is Hannover (75% of total searches to Lower Saxony). The next most popular destinations are Göttingen (9%) and Osnabrück (8%). Searches for hotels in Braunschweig (8%) are also popular.
KAYAK users have found double rooms in Lower Saxony for as cheap as $21 (Cuxhaven) in the last 3 days. The average price is $206.