if you really want to park at the Polynesian, you can pull up at the door of the main lodge, and have your car valet parked from there for about $12 (plus a couple $ tip when you pick it up.) when you pay to valet park, you can leave the car all day & evening for that rate - and no fear of towing. And you don't have any hiking to get from your car to the restaurant. When you're done eating, take the monorail to the MK...and when you're through with the park, ride the monorail back to the Poly, have them bring you the car and off you go with no parking lot hikes, no parking lot crowds. We've done this several times from both monorail resorts & Epcot resorts. The guys at valet parking say you can leave the car until well after the parks close, no additional charge.