I have been a tourist in Ireland twice, long ago. Ten days and you can get the gist of the interesting and charming sights on the whole island. In this way, I think Ireland is like Southern France and Scotland. I mean that these are fine places just to be in, and not to be a tourist. Delightful getaways without frantic running and driving around.
Ireland has a number of great house inns/hotels, some near golf and some not. A favorite is Ballyfin which is not near any famous golf. It's about horseback, cycling, hiking, reading, dining, and immersing onseself in the green Irish countryside.