Senator John Connally (R-TX) / Governor Nelson Rockefeller (R-NY)
Senator John Kennedy (D-MA) / Senator George Smathers (D-FL) ✓
Conservative Democrats were still viable in the national party and especially in Texas in the 1950s- the Yarborough-style liberals wouldn't wrestle control from the Shivercrats until the '70s- so that would be a little early for a Connally defection. Republicans, especially the Eastern Establishment, wouldn't trust him, and it would be too early to get a full Southern Strategy going. To add to that, Kennedy in the '60s wasn't all that unpalatable to segregationists compared to, say, Humphrey, and Smathers would sweeten the deal. IMO the unpledged electors still do their thing too, not fully onboard with giving up on changing their party with pressure tactics.