It should be a gorgeous day out for touch. The annual Bike DC event is on Saturday morning as well. this mean lots of road closures right around the tidal basin, including access to the parking lot. For the most part the ride should be finishing around 9:30, but the road closures are scheduled through 12pm. If you drive look for parking on independence between 14th and 7th.
Below is the official course map and a link to MPD list of road closures. Give yourself extra time to navigate increased traffic and parking scarcity.
DC Touch Rugby 