Supposing that in your "innocence" (not to be confused with something less nice), you meant the Dominican Republic or Dominicana or Quisqueya or the DR, i think you are going to find that golf here is a wonderful pasttime.
From the east to the north, there are some very nice courses. As far as "clubs" per se, that is different. For example, the is Santo Domingo Country Club. the very oldest in the DR. Also very exclusive and very expensive. There is La Romana Country Club. I heard that US$50,000 was the fee, but I do not know the yearly fees, and I cannot guarantee the above figure. Onthe other hand, you can become a member of the Dominican Federation of Golf (like the USGA) and play on many of the courses at reduced fees and one free round at about twenty courses. Play is restriceted to the summer months in some cases but so what? If you live here then there is no problem.
As to where to stay, you'll have to choose between Santiago and Santo Domingo for an active social life. Or the North Shore. Social life relating to golf is only at Santo Domingo C.C. as far as I know. This does not take into account the fact that there are golf torunaments (sometimes two) every weekend of the year, and, of course, there are social scenes related to the tournaments. This year's Juan Marichal is a good example...
If you need more than than, you'll have to pay me.
HB