Happy St. Patrick's Day.
As noted here, Doctor Who has never been to Ireland. Its present would work as a modern setting (as well as standing in for London in the last series of Primeval) but of course its past is rich in possibilities. Here's one to start with. Of course I wouldn't want to exaggerate or stereotype things (I can do that for the English and Scots because of my heritage) so much as I love Father Ted I'd stay away from anything with holy stones and Eurovision.