Assuming you're going to head to Galway & stay somewhere there on the 14th, and that you're not afraid of a few miles each day, I'd suggest something like this :
15th - before you head south go north for the day for some of the best of Connemara. From Galway you'll head to Oughterard, Maam Cross & Maam. Continue towards Leenane but take the right turn marked Lough Nafooey & after the lake keep left for Tourmakeedy & then follow signs for Westport. Plenty of places in the town & at Westport Quay for lunch. Westport to Louisburgh. Rather than WAW from L'burgh I'd go south through Doo Lough valley to Delphi. If you're making good progress & you've 'time in hand' turn left near the bottom of the lower lake for Sheeffry Pass & Tawnyard Lough (it's a narrow twisty road but I'm assuming you're an accomplished at two-up riding) all the way to the N59 where you turn south again to Leenane. If you're tight for time just continue from Doo Lough to Delphi, around Killary Fjord to Leenane. From Leenane go back onto WAW through Clifden (try & do the Sky Road as you come to Clifden) which will eventually bring you back to Galway where you could stay a second night.
Can you tell this is my favorite part of the country ?
16th - head on the WAW around the southern side of Galway Bay to Ballyvaughan, Doolin & Kilkee from where you can head to Killimer for the ferry across the Shannon to Tarbert, avoiding any need to go near Limerick. Then more WAW to Slea Head, the most westerly point of this little island, through Dingle, have a look at Inch Beach, on to Killorglin & Cahersiveen. Maybe stay somewhere around here.
17th - more WAW - Valentia, Ballinskelligs, Waterville, back onto the Ring of Kerry to Kenmare & onto the Beara Peninsula. Go at least as far as Allihies but if you're not afraid of heights take the cable car to Dursey Island (as featured
here) Ever onwards to Sheeps Head & then Mizzen Head, the most southerly point of Ireland, and then eastwards towards Cork city where you'll find plenty of accommodation.
If you wanted a bit of a break from coast & sea I'd recommend turning left at the big church just before Waterville, marked for Glencar, & head to Ballaghisheen Pass before turning right for Ballaghbeema Pass. At the end of the road turn left & then take the left for Lough Brin & Black Valley. At the end of that road turn right & that'll bring you to Molls Gap & hence to Kenmare.
18th - Head for Lismore & do the Vee to Clogheen & then Cahir. From there you can either jump on the M8 to Dublin to save time & have an afternoon / evening in Dublin or continue across country through Clonmel, Kilkenny, Athy, Naas. Or for a bit of hillyness head from Athy to Baltinglass, Glenmalure, Laragh & across Sally Gap to Dublin.