Let KAYAK do the searching
Based on KAYAK hotel searches, the most popular destination is Le Mont-Saint-Michel (54% of total searches to Normandy). The next most popular destinations are Rouen (22%) and Bayeux (16%). Searches for hotels in Lisieux (8%) are also popular.
KAYAK users have found double rooms in Normandy for as cheap as $40 (Deauville) in the last 3 days. The average price is $394.