This past Saturday night I noticed that El Rinconcito Deportivo, a little hole in the wall Latin American spot on 11th Street between Wonderland and Room 11 (i.e. 11th Street between Kenyon and Lamont) is open late. From their Facebook page, it seems this 2:45 am time is for Fridays and Saturdays.
I've been there a couple times before and the food is simple and pretty tasty, and I'm sure folks are always open for another nearby, late night food option.
The place gets 4 stars on Yelp. Note this is not the same place as El Rinconcito II on Park Road across from the Giant. I think Rinconcito, Spanish for "little corner," is a common name for restaurants.