Fortunes can change quickly. I'm 29 was in your position not so long ago. Here's my timeline with reagrd to "highly ranked" courses.
2001-2006: Tobacco Road, Black Mesa, Lakota Canyon(3)
Last year:
I played MPCC (Shore) and Rustic Canyon (2)
This year: Riviera, Sand Hills, Dismal River, Monarch Dunes, Pasatiempo, Olympic (Lake), Ballyneal, Spyglass (Bandon Dunes next month). (11 total!)
Stay patient, save your pennies, and plan accordingly.
Also, while seeking access to private golf clubs via participants on this discussion board is not something I would openly condone (nor is it something I've actively pursued), I owe most of my experiences this year to a very small contingent of generous gents that I've met through this website. Simply playing Riveira would have been enlightening, but paying it with a knowledgable host that shared my love for GCA was transcendant.
I'm guessing the best way to see the greats as a young, public golfer is to save up for a trip to Scotland.