I don't dot my eyes. I started my career in the days of hand drafting, and so I lettered in all capitals. However, I didn't like how that looked in general correspondence, so I developed a lower case lettering style as well. In that I didn't dot my i's either. Too many extraneous marks clutter up a drawing, and i dots were part of that clutter.
As an aside, my script handwriting has always been miserable but my printing (all caps or caps/smalls) used to be quite neat. Since the advent of computers and PDAs my printing has gone totally down the drain.