Shan, this traditional Irish air is beautiful and is great fun to play. I just played all three parts with me, myself, and I --unfortunately, just one part at a time-- and all three parts work well. Ideas pop into my head. At some point, we'll have to think about how we can collaborate to do group recordings. Or maybe you could make a video of yourself playing all three parts.
The truth is, I'd love to have more three part arrangements like this! Perhaps a book?