Ah, Bernard beat me to it... I was just going to mention that Segovia had fingers like sausages. And he's got a good point: largeish fingers shouldn't be a problem. You play with the calloused tips of the fingers in any case.

Learn the kind of guitar that pleases you to hear, don't be swayed by generalities about hand size. I have large hands myself, and play a steel-string with a 1 11/16th" neck. No big deal.