Keith,
You should listen to Brian as he's the homer on this one.
Tralee is not to be missed, despite what many may post.
I was far more impressed with Tralee in 2012 than I was on my initial visit in 1991.
First of all you do not want/need a "small car"if there are 4 of you and the roads are not as bad as advertised.
a minivan is what want-they are dirt cheap if you get manual, which are not that tricky to drive, but are available in automatic for a premium.
Day 1 7 am arrival from US is 2 am eastern-no time to be playing golf-use time to drive to Waterville, have a nice lunch and see if you can check in early at hotel (It would now be around 1 o'clock. freshen up, get organized, (20 min power nap) and play around 2;30 or 3 oclock.
Have a couple pints in town and get to bed at reasonable hour.
day 2 Dooks early, Dingle gc afternoon- stay in Dingle and have big evening out.
Day 3 Tralee mid/late morning, followed by emergency 9 at Castlegregory followed by drive back to Dingle via wild Dingle pass (different route than you took from Dooks) Yes this is bit of backtracking but saves you from moving, adds a spectacular scenic drive, and gives you an extra night in Dingle which is a much better town than all the others (esp, Ballybunion) and gives you minimal chances of minging with overlogoed sweater vests) stay in Dingle and clean up whatever mess you created the night before
Day 4 Ballybunion Old and New (they'll suggest a buggy for your afternoon round which you may well need and there will be plenty being used)
New is included in fee.. Stay in Lahinch.
Day 5 Doonbeg in am, Lahinch in pm-stay in Lahinch again with one hour ride to airport in am.
That's 3 hotels all in good towns-(2 golf towns and one fun, tourist but not golf town), 5 big guns, 4 gems (if we can call the New a gem-it's at least a bargain)
Have fun