I wouldn't dye my hair because the chemicals are pretty toxic and I don't want to put them on my head. But if I had to choose, I'd pick violet. I've got green eyes, pale skin and I think it would look the best out of those choices.
Once by accident I dyed my hair a bright red-violet, like the skin of a red plum. It was somewhat strange. Another time the colour bleached in the sun from auburn to copper. It's been black-brown and black before, too. As far as experimentation goes, though, I'm not very adventurous because I don't like to draw attention to myself.