President Richard Nixon (R-CA) / Vice President Spiro Agnew (R-MD) ✓
Congresswoman Shirley Chisholm (D-NY) / Congresswoman Patsy Mink (D-HI)
Not only would they have racism and sexism going against them, they would also be running a very progressive campaign. Progressivism had clearly lost favor with the collapse of the New Deal Coalition in 1968. That was part of why McGovern failed. I don't even think Mink has a favorite son (daughter?) effect in Hawaii: her strong anti-war stance would hurt the ticket.