Hi I live near Killarney Ireland
I think you are trying to fit too much in 
Some driving times / distances For locals who are used to the roads:  Dublin city  to Giants Causeway  4 hours
Giants Causeway to Dingle 7 hours via dublin and motorway for part 
Giants Causeway to Dingle 9 hours via Westport   scenic route   
Suggest: 2 nights  Dublin , 3 nights Galway, (Dublin Galway 2 hours on motorway  Go via Clonmacnoise Monument) 
Lots of Trad Music in Galway.
Do a easy day in Galway on arrival
Do day trip to Aran Islands from galway city or from Rossaveal village about 1 hour west of Galway
Do Day trip to Cliffs of Moher and stop at Allwee caves on way 
Galway to Killarney (4 hours ) Stop at , Bunratty Castle or Adare Village on route
Stay 3 nights in killarney. Traditional music in Pubs ( see Grand Pub) 
See Muckross House and Gardens & Ross Castle,  Visit Gap of Dunloe.  Drive through the gap, spectacular (narror roads)
Do day trip to Dingle  Perhaps stay a night  Traditional music in pubs
Or Do Ring of Kerry 
Or Go directly to Valentia Island
Or Go to Kenmare 
Killarney to Dublin 4 hours 
 Go via Rock of Cashel
Eat in the local pubs evening time 
Go see a local Football match
Enjoy your trip
Taaffes Bar
Taaffes Bar Galway
    You are sure to catch a traditional Irish music session in progress in Taaffes at any time of the day or night. The bar's location in the middle of the main shopping thoroughfare ensures a busy daytime pub where the ceol and the craic take precedence. Taaffes is a great traditional pub in the centre of the city, with live sessions at 5pm and 9pm each day. Food served until 2pm each day.
Address: Shop Street, Galway City
Tel: +353(0)91 564066
trad music bars galway
 The Crane Bar
The Crane Bar Galway    The Crane is a renowned Irish traditional venue situated in the West end of Galway City. Traditional music is on the menu here seven nights a week. This corner pub has a beautiful Victorian façade from the 1800’s, Consisting of two levels, the bar on the ground floor is a local favourite while upstairs comes alive every night for music sessions at 9.30pm. Even though the Crane is tucked away in the West end of the City it is the first stop for many music lovers on their visit to the City due to its reputation as a live music venue. Over the last number of years the Crane has branched out to include a wider selection of music such as roots, blues and singer songwriters.
Address: Sea Road, Galway City
Tel: +353(091)587419
Web: www.thecranebar.com
trad music pubs galway
 Tigh Coili
Tigh Coili Bar Galway   Tigh Coili Pub in Galway City is one of the most popular bars in Galway and is famous for its traditional Irish Music sessions. Tig Coili is at the end of the main shopping street in Galway and is full of atmosphere. Tigh Coili has no TV’s or pool tables to distract you from the excellent Irish music and craic where you are likely to see well known artists like Sharon Shannon join the session.
Address: Mainguard Street, Galway City
Tel: +353(0)91 561294
Web: www.tigcoili.com
finest trad bars galway
 An Pucan
An Pucan Bar Galway 
An Pucan pub features traditional Irish music every night and it is one of the main Irish language pubs in the City, The traditional Irish Bar exterior is extremely welcoming and a warm cead mile failte is to be enjoyed beyond it. 
Address: Forster Street, Galway City
Tel: +353(0)91 561528
Web: www.anpucan.ie
trad bars in galway
 Monroes Tavern