If anyone can help me with my question, I would appreciate it. As far as I can tell, there are two states that have never elected a minor party nominee (who was not also the nominee of a major party) to a partisan office, since that state started using government-printed ballots. They are Arizona and Delaware.
If anyone can identify any instance of a minor party nominee winning a partisan election in Arizona or Delaware, I would be very grateful. You can either comment, or else e-mail me at richardwinger@yahoo.com. This post originally asked about North Carolina, but commenter Kevin Hayes answered that state.