We went in at around 10AM. Perhaps first thing in the morning might be a better bet.
I have an update to report, web site indicates that my cards have been mailed on June 26th!!
1600 Callowhill Street.
My wife and myself went in at around 10 am and were out before 1 pm. The process was straightforward. I waited in line to get a case number and was asked for I-94, advance parole, passport, all EAD cards, and two pictures. After waiting for nearly two and a hours...