when i used to work 3rd shift some co-workers and i would always head to a local pub which served breakfast from 6am-noon, then closed and re-opened in the evening for the "hip" bar crowd (it was a hole in the wall but a great place).....
we'd be surrounded by people eating omlets while we were sharing a pitcher of brew....we always got funny looks but just played it off that we worked for the city (we didn't work for the city)