Why should the location of the competition even matter? It could be held at a complete goat ranch, dog track, or otherwise, and it would still ultimately be player vs. player (well, at least within the confines of the various challenges), right? It's an obviously "made-for-television" experience, to be sure, so, as suggested, it might bring in more viewers if contested at a more "interesting" venue, but it doesn't change the skill-set of the players one bit if it were held, for example, at the Black course at Bethpage, or at the Red or Green.
Interestingly, the Big Break website shows that these kids play out of some pretty well known clubs: Garden City (Susan Lucci's son), Trump National (Guiliani's son), The Ocean Course, Torrey Pines, Bay Hill.