With 9 days you could go ANYWHERE in the USA!!
But since you prbably aren't as nuts as I am, I'd mention the Naval Aviation Museum at the Air Station at Pensacola, Fla. The USS Alabama in Mobile, as well as the new ship in New Orleans, the LST 325(all have websites). There is the USS Yorktown in Chareleston. There is Ground Zero in New York, as well as the other common tourist sites like the Statue of Librty, Battery Park, etc. And The Mall at Washington D.C.is great and the hole in the Pentagon across the river is close. There is this great hang glider place on Lookout Mountain, Tenn(Chattannooga). In April in Lakeland, Fl there is Sun-n-Fun. It is an aviation gathering with every kind of flying machine imaginable. I guess you have a lot to pick from. Enjoy. Just don't keep putting it off.