Call Delta Sky Club/Regus (1-800-496-2225) and schedule a meeting in the Sky Club for an hour ($50). You will be emailed a meeting confirmation letter, print it out, take to the gate agent, and get your gate pass. I've done this MANY times. It gives specific information on the email to the gate agent to grant you a gate pass and how to verify if needed, but the email has always been acceptable enough for me!

https://www.delta.com/traveling_chec...ices/index.jsp