You cant go very wrong with the west of Ireland so, over by the Burren. Little villages that have lovely guest houses and places to stay would be Ballyvaughan, Lahinch, Ennistymon, or Fenore. They have the little trad pubs and then the tourist places to see are just a car journey ride away. You would be better flying into Shannon Airport for that option.
Down by West Kerry and Cork would be absolutly gorgeous too. Cork Airport woule be your best airoprt there. Theres the Ring Of Kerry to see and the Dingle Peninsula. Killarney and Tralee would be the main Kerry towns but theres hundreds of little guest houses out in the sticks to let ye sample the real rural life.
Any probs, let me know.
Have fun, Ireland is a lovely country, and no im not just being modest :)