Since you mention that you would like a semi-guided tour, I'm thinking that means you would like for someone to show you some of the lovely places in Ireland, but also have some free time, too.
I'd suggest emailing Tony McGann in Doolin at [email protected] to see if he might be available.
Since you will be there on St. Patrick's Day, I personally don't know how booked hotels/B&Bs would be.
But, we hired Tony to drive us on certain days, and then we had certain days free. I had a general idea of what I thought I wanted to see, but I basically emailed that to Tony and said, suggest changes and just show us the beauty of your country. And, boy did he deliver!!!!
He is a very reliable, kind driver and he acted a a tour guide of sorts along the way.
We arrived at Shannon, and he picked us up, took us through Adare, then to the Rock of Cashel (which is incredible and your daughter would enjoy photographing) and then down to Kinsale (we overnighted at the Old Presbytery Inn in Kinsale....lovely). Then the next day, we traveled along the southern coast thru the Dingle Peninsula (Conor's Pass is incredible), and I would recommend trying to see the beehive huts), up thru Kenmare, stopped at the Muckross House and gardens, then up to Dromoland Castle (for a two-night stay). Then late a.m. on the check-out day at Dromoland, Tony picked us up took us thru Ennis and over to the Cliffs of Moher. He dropped us off at the Cliffs while taking our luggage to the b&b in Doolin. The next a.m., he picked us up and took us thru The Burren, to Galway (where we had a couple of hours on our own to visit Key Street and have lunch, then on thru the lovely Connamera region, stop at Kylemore Abbey and up to Ashford Castle (third-best hotel in the world according to Travel & Leisure magazine and originally the home of the Guinness family) for a 2-night stay. Your daughter (and you and your wife) might really enjoy the Hawk Walk experience thru the Ashford School of Falconry. If you don't stay overnight there (yes, it's even more expensive nowadays) maybe you could arrange to have lunch before/after the falconry experience.
When we checked out of Ashford a cousin met us for the next portion of our trip (so we saw my grandmother's original stone cottage, etc. and family sites). The final night we stayed in Bunratty and enjoyed the Bunratty Folk Park, then flew home.
Since you will have more time, I would recommend adding an overnight on the Dingle Peninsula and maybe an overnight in Kenmare. Galway could also provide a convenient overnight stay. We didn't make it to the Aran Islands, but I understand they are lovely. Michael Skellig (sp?) is the site where the last scene of the new Star Wars film was shot, but I don't know how if or how frequently the ferry runs there (and I believe it is an all-day adventure).
Have you had a chance to consider what sights are on your must-see list?
Be sure to pack warm clothes, gloves, and wear good water-proof shoes. We were in fleece and water-proof jackets at the end of August when we visited, and weather was delightful in the scheme of things. But, wind seems to be normal in many parts of Ireland, especially along the coast.