22150 is the zip code for the Hilton, if you want to do a search. I did, and only 2 are within a mile (Confession and Lap 2). Both are multi-stage, and look to be fairly difficult.
If you do get transportation, and can find your way to Telegraph road towards Alexandria, check out these, which should come up from the same search (zipcode 22150): Rambo's Huntley meadows, Huntley Meadows by Wandering Dragon (Those 2 are on opposite ends of the park, you cannot get to one from the entrance you take to reach the other.. We tried), and Lee's District (not far from Rambo's Huntley Meadows). The area is a wetlands park, or close to it, so it gets a bit soggy, and there can be mosquitos and ticks.