... Do you mean J. P. K. III or Caroline Kennedy?
If so, I'm predicting a Caroline Kennedy/Mitch Landrieu (or Ben Chandler/Dan Boren) ticket.
No, I'm afraid you misunderstood the prompt. I edited it and added the details necessary so that there's no reason for Ben Chandler (D-KY) to be considered the nominee.
I meant as the running mate. Will edit.
Sen. John Fitzgerald(MA)/Congressman Stewart Udall(AZ) v. Director George H. Bush(CT)/Sen. Elizabeth Hanford(NC)
If held in 1976, which seems like the last time Kennedy could run and the first time Elizabeth could, this map gives a 269-269 result.