It is possible that California and Kentucky will be the only two states in which there are no minor party or independent candidates on the ballot for any statewide office in November 2022.
Here is a news story about an independent candidate seeking to get on the ballot in North Dakota, for U.S. House. She is Cara Mund, a former Miss America and a recent graduate of Harvard Law School.
Ohio has an independent candidate on the ballot for Secretary of State, but it is not known if she will be on the ballot. Election officials say she has enough, but the Republican Party is challenging her petition validity. She is Terpsehore Maras.
In Washington state, an independent candidate for Secretary of State is on the November ballot. She placed second in the top-two primary, defeating two Republicans. Her only opponent in November is the Democratic incumbent.
In Alaska, it is impossible to know whether any independent or minor party candidate will be on the November ballot for any of the three races, Governor-Lieutenant Governor, U.S. Senate, or U.S. House. The August 16 primary will decide. The top four candidates will qualify.
Of course, there are some states without any statewide races in 2022: Mississippi, Montana, New Jersey, Virginia, and West Virginia. In those five states the top office is U.S. House, and in all those five states, there is at least one minor party or independent candidate on the ballot for a U.S. House race.