northeast-
fly to NY. play Bethpage/ piping rock/creek/national, then play baltusrol, plainfield, and drive to Atlantic City and play Atlantic City CC (doak resto), seaview, indian creek (C and C) and then drive to phila--the most flynn anyhwere--IM Tom Paul/wayne Mo (i dont know them but i'll volunteer them anyway)
write some nice letters to the clubs and you'll get on some of these layouts, esp if you can play during the week.
First thing first; I envy you greatly. That sounds like the trip of a lifetime!!!
If I were you I would start writing letters NOW; I am sure with enough persistence access shouldn't be that much of a problem regardless of what you have heard.
1. I would start in Long Island. You could literally spend 3 weeks playing a different course on LI every single day and it would be the greatest golf trip of all time; but all things considered I would play
Part 1 A. National Golf Links of America (CB)
B. Shinnecock Hills (Flynn)
C. Sebonack (Doak and Nicklaus)
D. Bethpage Black (Tillie)....or Burbeck)
You could do those 4 in 3 days if you have the resources but I would try to get as many plays as possible, in an ideal world I would play 36 a day at SH, National, and Sebonack, then play 18 at BPB; I think it would be impossible to do 36 at BPB. Then drive a couple of hours to Philly
Part 2 A. Merion (Wilson)
B. Pine Valley
C. Pick any of the greats; there are almost too many to mention.......Aronomink, Lehigh, Saucon Valley, Philly CC, Lancaster, Gulph Mills, and the list goes on.........
I would then hop on a plane and fly to Columbus, OH and play
A. The Golf Club (Dye)
B. Murifield Village (Nicklaus)
C. Scioto (Ross)
Next step would be Monterrey Peninsula; fly out to San Francisco and then....
A. Cypress Point
B. Pebble Beach
C. MPCC
D. Olympic Club
E. San Francisco Golf Club (Tillie)
Drive a couple of hours south to Los Angeles and play
A. LA Country Club
B. Rivera
LA should be a great place to fly back from as I am sure there are many flights back to Australia.
If you were to follow my itinerary and succeed in the above trip then in 3 weeks you would have experienced more than 99.9% of all golfers experience in their lifetime. Also your wallet would be a little lighter
In a perfect world I would tell you to fly to Atlanta after Philly and I would take you to play Peachtree and then we would make the drive to Augusta to play Augusta National; but unfortunately I can't even make that happen for myself or for my family; I can't picture ANGC being receptive to a letter, it would be one of the few places I mentioned that access is going to be close to impossible but I wish you the best of luck. If you do find a way on then shoot me a PM and I have a place for you to stay.
...By the way thanks for this post; it was fun for me to imagine a trip like this.