Let KAYAK do the searching
Based on KAYAK hotel searches, the most popular destination is Le Mont-Saint-Michel (44% of total searches to Normandy). The next most popular destinations are Rouen (22%) and Bayeux (22%). Searches for hotels in Lisieux (11%) are also popular.
KAYAK users have found double rooms in Normandy for as cheap as $55 (Rouen) in the last 3 days. The average price is $297.