Thanks to everyone for the suggestions. I did take your advice and I am going to save Mayo/Sligo/Conn for later. I believe this is what I am going with:
Fly into Dublin
2 days in Meath
1 day in Burren Area
1 day in Adare/Lough Gur
1 day seeing Cashel and Cahir castles
2 days in Killarney
2 days in Kenmare for Beara
2 days near Kinsale. I am thinking of splitting this one day Kinsale and one day Lismore for the Towers Forest.
2 days Kilkenny (which falls on St. Patrick's Day)
2 days Wicklow area
Fly home from Dublin
Really it came down to seeing Westport/Conn area for two days or Wicklow and since my trip is in early March, I went with Wicklow.