I hadn't thought about this until I saw this thread, though it looks like there aren't any cases. Part of this is because the pre-1960 South was reliably Democratic. But since 1960 there have been four non-Texan southern Democratic nominees (Carter, Clinton, Gore, Edwards), but none for the GOP. This will probably change this upcoming election, but does anyone have a guess why this has been true the past 50 years?
For the first few decades, there weren't any established, electable Southern Republicans outside Texas. Nowadays, the Republicans don't need to pander to the South; they have it locked up. On the other hand, the Democrats are vainly searching for another 1976. It looks like they've finally given up.