Let KAYAK do the searching
Based on KAYAK hotel searches, the most popular destination is Le Mont-Saint-Michel (49% of total searches to Normandy). The next most popular destinations are Bayeux (24%) and Rouen (20%). Searches for hotels in Lisieux (7%) are also popular.
KAYAK users have found double rooms in Normandy for as cheap as $34 (Le Havre) in the last 3 days. The average price is $336.