Thought of 4 I didn't see.
Cape Wickham, Chicago GC, Shoreacres, Royal Worlington & Newmarket (Mildenhall/Sacred Nine)
Maybe Chicago bias, but I thought of 2 in the windy city. I'd pick Chicago GC by a hair over Shoreacres. Neither of which are easy to access.
Chicago GC vs. Sacred Nine, seeing as you wanted easier access I'd day the Sacred Nine as well as novelty of what many say is the best 9 hole course around.
Sacred Nine vs. Cape Wickham - CW is in my top 5 and think it is spectacular. It is a long way away however and then another plane ride to King Island. Sacred Nine is so unique and understated pure golf I think I would go with Royal Worlington & Newmarket. Easier to get to, available to public and you would have added a unique experience to your golfing life. I certainly was thankful to have played it.