LOL this is rough. If you go down Banneker Drive near the fire house, there's a community towards the bottom with some visitor spots that are almost always open where you should have no issue parking for a day, or even more at times (as long as it's not 3 or more I think).

From there, you can walk the path through the woods and Merriweather is about 1,000 steps and the buildings on the other side of it are about 2,000. Just figured I'd let you know in case you know this is going to happen again. There are probably some closer public spots, but these ones are safe as far as I know.