You didn't say how many days you have to work with. I got lucky and had great weather for a full 2 weeks, tooling around the southern Republic loop. Considering you'll have your non golfer wife along and we ain't getting any younger, I'd say to ease up on wearing yourselves out with rushing from golf course to course. Obviously along the areas you are contemplating, the most outstanding things to experience are the ROK and the Dingle-Slea Head drive. Conveniently, Dooks works well for ROK, and Ceann Sibeal works for Dingle. Wife can have a lovely day exploring Kilarney whilst you drive the 1\2 hour to Dooks, and you can explore the near attractive scenery around Killarney before dark. Then, take a slow and exploratory day to circumnavigate the entire ROK stopping frequently for attractions and the short hiking paths from scenic car park lots. Then, try to schedule your Dingle days on weekend so you can play the more Irish community style Ceann Sibeal, where your wife can stroll about the neighborhood or take the car around the near region, will feel comfortable hanging about the friendly clubhouse for the 3 1\2 hours you are playing, then finish the day slowly circling Slea Head drive, with stops at Ryan's Daughter and Bee Hives, etc. Finish your day on a pub crawl where you should find a handful of pubs with real trad musicians. There is good food everywhere.
If you end up in Cork, the city center is very nice for shop browsing for Mrs., and try not to miss Cohb not too far from Cork CC. Cohb was last land seen by Titanic and there are Titanic and Lusitania attractions, and the outstanding St. Colman Cathedral- a lovely town walk-about.