We plan to visit the Library of Congress Monday early afternoon. Our Amtrak train from Union Station won't depart until around 4 pm. Is there a good spot between the Library of Cingress and Union Station to have a late lunch or bite to eat? We were thinking of Pete's Diner, but that apparently closes at 3 pm. We'd prefer something "special" to DC (e.g., not a Starbucks or other chain) and are open to either more of a full lunch menu or a coffee shop with sandwiches etc. I was thinking of the Tune Inn, but I'm guessing that's too far out of the way. We'll have some smallish luggage so would prefer to find a place at least kind of on the way between the library and the station.