Where to play

In September, before I head north, to the Ryder Cup, I'll be in the Dover area. It's been recommended that I should play Rye, Littlestone, North Foreland, Prince's, Royal St. George's and Royal Cinque Ports. I figure I have enough time to play four rounds. Which of those six courses would be the best ones to try? Are there other courses I should play instead of any of these? Which ones are going to be too expensive? As a visitor, is it possible to play any of those in the morning so I might be able to then play 36 on the same day? In advance, thank you for all your input.

Ive played Princes twice and couldn't recommend it enough. Make sure that and RSG is on the list.