Why would you have felt the need to pretend to vote for someone else? Especially an open racist? And I'm also confused by your decision to vote for Cleveland (along with others). He's pretty much the diametric opposite of what you seem to stand for.
I live in Biloxi, Mississippi. I know how this area has voted over time. We may be culturally akin to Louisiana, but in those days all the same rules applied as in the rest of the state. Of course, in 1960 we actually voted for Kennedy when all the hicks voted for Nixon or the "Unpledged Slate"
And as for Cleveland, he was the Democratic candidate wasn't he, and the ancestors of mine who were not in Croatia, or in a part of LaFourche Parish you've never heard of were all involved in the liberation movements of the 1870s, so had I been alive at the time, I probably also would have been involved in one of those movements, and would have been voting solid Democratic.
