If I were you, I'd leave my car at the closest Metro station and just take the orange or blue line to Stadium/Armory. I don't get down there often, but I'm guessing... Vienna/Springfield?
Just thought I'd edit a little more into this -- if you pick up the train at V/S, you'll be able to get on the first car, which is the one you want. And when you leave the ballpark, go PAST the mob waiting at the station entrance closest to RFK and enter at the DC General end.
Best of luck. Go Nats.