I just checked and the Allen Street Grill (above the Corner Room) has a table opening for 2:30 and for 2:45 on Saturday...right now. Probably won't last long now that I've let the cat out of the bag so act fast.
www.allenstreetgrill.com
You'll love the views. Here's a photo of the building. The Corner Room is on the first floor. The Allen Street Grill is on the second floor, with all those large windows. It's also a hotel with about 10 rooms or so. No air conditioning in the rooms, but it's a great location and often has availability which you must call to check on as they don't do internet reservations.