Actually only Mississippi voted for a slate of unpledged electors.
Plus Alabama had some weirdness where 6 unpledged electors were nominated in the rat primary and 5 Kennedy.
Dixiecrat slate came in third in Louisiana, the only other state that had one running.
In Arkansas the sitting Governor Orval Faubus ran, he came in a very poor third while being reelected Governor at the same time.
I’m actually surprised the rats were as united as they were, a lot of Dixiecrats just voted for Nixon.
Kennedy won the south except for Florida and the border states. Probably the choice in a lot of states was just “Nixon” or “Kennedy” (no alternate RAT candidates, third party nominee or “unpledged” RAT electors on the ballot), so the Dixiecrats held their nose and voted Kennedy to prevent the EEEEEEEEEEEEEVIL party of Lincoln from winning. But they weren’t happy with Kennedy as the RAT nominee. I think he put LBJ on the ticket partially to appease the Dixiecrats and because Texas was a must-win state. Ironically, when Johnson ran his own right in 1964, the Dixiecrats outright revolted and voted for Goldwater.
I agree Nixon in 1960 probably did better with the Dixiecrats than most of the past GOP nominees, though. He was winning 30-40% in the deep south. A few decades earlier, the GOP nominee would be lucky to get 20%.