Shannon Town.

Great course, reasonable fee, and close to both Shannon town and airport.

http://www.shannongolfclub.ie/

Dromoland

Great setting on the castle grounds, also very convenient to Shanon.

 http://www.dromolandgolf.com/index.html

Lahinch

 http://www.lahinchgolf.com/

Doonbeg

http://www.doonbeggolfclub.com/course/

Bodyke

Convenient for a visit to Lough Derg.

http://www.eastclare.com/eastclare/ww...

Ennis

http://www.ennisgolfclub.com/

Woodstock

http://www.woodstockgolfclub.com/inde...

Kilrush

If using the Shannon ferry crossing from county Kerry, this would be very convenient.

http://www.kilrushgolfclub.com/

Kilkee

Handy location for touring Loop Head.

 http://www.kilkeegolfclub.ie/

 Spanish Point

http://www.spanishpointgolf.com/

 

Plenty of 9 holes, like Walton Lodge near Shannon town (between Kilmurray & Bunratty) and Doolin.