Tom,
I have never been to Ballyneal, so I can't comment on the par 3s there, but will try and chime in about the 17th at SH. Perhaps people are willing to accept a do or die, type demanding shot on the short par 3, and an available miss is not necessary? The 11th at Shinnecock, the 17th at Sand Hills, as Steve mentioned, the Postage Stamp. I think the 17th at Sand Hills is a great hole because it is demanding, yet I never feel like it is outside my capabilities.