Let KAYAK do the searching
Based on KAYAK hotel searches, the most popular destination is Le Mont-Saint-Michel (41% of total searches to Normandy). The next most popular destinations are Bayeux (26%) and Deauville (17%). Searches for hotels in Caen (17%) are also popular.
KAYAK users have found double rooms in Normandy for as cheap as $23 (Le Havre) in the last 3 days. The average price is $184.