We used RS 21 day driving trip as a guide for our 29 night trip to Ireland in late April. We find it easier to stay in the city we're leaving from at the end of our trip so we did what most people here say not to do (we're in our early 70s and we've done this on many previous trips so we were not worried). We traveled from SF so have the time difference and lack of good sleep issues but they have never bothered us. We picked up our rental car at the Dublin Airport and drove immediately to Glendalough area. This by-passes city driving. With our stops for pictures it took less than two hours. We spent the night in Laragh-Annamoe, visited Glendalough the next morning, then drove on to Kilkenny. After finishing our driving trip around Ireland, we returned our car to the Dublin Airport and took the bus to Dublin. Bought a round trip ticket which we used to return to the airport a few days later. We got a standard shift car and found that driving on the left (Mr.) was not that hard, taking the Military Road was not that narrow or winding, there were few cars so it gave us time to adjust to the roads and left side driving without a lot of cars around.
We don't know you or your previous travel experiences so are not recommending this plan for you but putting out the idea for consideration. If you have traveled before and know what your reaction is to the time difference it's possible this might work.