I'm trying to think of someone who comes to mind. Would Carl Vinson or Wright Patman fit that mold?
Patman - no. He remained populist, though he signed "Southern Manifesto". But people like Rankin and Colmer in Mississippi - yes. They were not especially conservative at the beginning of FDR presidency (though they were not flaming liberals either, but still generally - supported New Deal). By 1950 both were almost perfect conservatives. Even Harry Bird was not
AS conservative in the beginning of his Senate career as he was later. The same with Baring in Nevada (not even South) and some other...