PLay the 18 hole course at Haynes Point (close to Jefferson Memorial). Rock Creek is a nicer course, but right now I believe they only have the front nine open. The course at Haynes point is not as nice, but it has spectacular views of the Washington Monument on a couple of holes. There is one more course in DC proper that I haven't played. For nicer courses, you will have to look outside the district, but I would efinitely go to Haynes point and play.
You know the way to grandma's house!
R.I.P. Buddy D