Networking is the essence of getting art modeling gigs. Usually one acquires gigs at the session they're working. At least that is true for me. So I carry at least a few business cards and a planner. You're better off setting a date that moment instead of waiting for a call. Because I carry a 2009 planner I have six gigs already for the upcoming year.
As far as business cards, this might be innate knowledge for y'all, but never put your physical address on your card. Name, phone number, and email are all that is needed. If you have a website all the better, put that too. People really do check them out. Anyway, best of luck!