I highly, highly recommend one of the van-tours operating (usually) out of Bayeux. There are one-day trips that cover sites of special interest to Americans (also one or two tours focusing on Canadian/British sites). You'll cover much more ground and get much more information that way. Last year the cost was about 100 euros per person, and well worth it. I used Overlord Tours. Dale Booth is also mentioned positively on this forum. You'd need to contact the company to set the date. I don't know that every tour is offered every day.
Most people prefer to stay in Bayeux for the D-Day part of a Normandy sojourn, and it's the most convenient place for picking up most of the van tours. It also has a good WW II museum, the Bayeux Tapestry, the cathedral, and a picturesque historic district. I was traveling by public transportation, so I also spent a few nights in Caen, which is nearby but has better transportation links. So I can't say exactly how convenient it would be to travel east to places along the coast from Bayeux; there would be the extra step of getting from Bayeux to Caen. However, I managed to see (on separate days, because I am slow) Honfleur, Deauville and Cabourg.
If you opted to rent a car for just one day in Caen (probably better) or Bayeux, you could cover ground a bit more quickly. However, I am not suggesting this as a substitute for a D-Day tour, and I'm not sure it's worth fiddling with a rental car if you have only two nights in Normandy.