We visited on a Saturday morning, and knowing this would be a popular day we arrive just as the Château was opening. We pretty much had it with minimum fellow travelers for the first hour of our visit. We were able to take many people-free photos inside and outside of the Château.
After much research and map-reading we chose Honfleur as our homebase for five nights in Normandy. Honfleur puts you a little over an hour from Giverny, within an hour of Rouen, D-Day sights, Caen, and Bayeux, and about two hours from Mont Saint-Michel.