There is tons of parking around the port. Most have websites you can reserve in advance. I don't think they reserve for one specific line. We parked at a covered lot and had no problems. They just want a full lot because an empty space is lost money. The only catch is check their hours. They cater to cruises so they only operate during hours of passenger changeover. We seen tons, though, like Port Parking, Lighthouse, EZ Park, etc.