It's alot of miles, but it would be a sin to travel that far and not rent a car or take the train to the Normandy invasion beaches, or visit the city of Bondy, or run up to the champagne region near Reims. Afterall, man does not live by miles alone. If you're looking for a cheap hotel near CDG, take the hotel shuttle to the Accor Hotel chain, across the freeway into Paris Nord 1. For $40-$50 EU stay at the ETAP. (accor.com)
If you want a cheap hotel in Normandy-- $45EU for the Hotel L'Bayeux in Bayeux, or $40EU for the Hotel Du 6 Juin in Ste Mere Eglise