Kwoodfield,
When do you leave on this epic trip? I've played about half the courses you listed - you will undoubtedly enjoy them all, for different reasons.
While in St. Andrews, if you have time to add Crail that is worth a visit. And the patio outside the Jigger, leaning up against the wall along 17 of the Old Course, is a once in a lifetime experience. You almost have to pinch yourself that you are there.
Dinner at Forgan's in town is a must. Go with an open mind. The deep fried haggis balls with a dram of scotch are incredibly good.
I would be curious to hear what some of your takeaways are from the trip, once complete.
I am now planning another trip in 2020 to St. Andrews and Carnoustie, but will also include Cruden Bay and Royal Dornoch. So many great places to choose from.
Stick to ScotRail, if you can, as opposed to renting a car.
Santa