Mourne Golf Club (the 'town' course that plays at Royal County Down) has a great Open Week each year in the middle of July (often the week before The Open Championship.
You get a guaranteed tee time, play with some locals usually, RCD is always set up in great condition, you play off the medal or back tees, have a chance to win something and save a bit of cash compared with the green fee into the bargain. There are singles, 4-balls and a couple of other formats during the week.
Books up fast, though!