There’s plenty of that here in nyc. No need to travel for that.
In DC you can hit up the Lincoln Memorial, reflecting pools, vietnam-korean-WWII memorials, Washington Monument, Jeffersion Memorial, Arlington Cemetery, strut on over to the capital building, walk the mall and drop in on a few museums, ride the metro, go see a panda, get stuck in some god awful traffic on the beltway, see the washington football team that can't find a name, and lots of other 'great to do when high' things.