How much time do you have to travel? There are some package tours that will whizz you around Ireland's rim in 15 days on bus tours. Tiring, but it accomplishes the goal.
There is a new highway tour, Wild Atlantic Way, that you can drive from Donegal down to Cork. It only does half the country but there are maps available for independent travelers who may not have two or more weeks to doing a full circumnavigation in one trip.