Best chance....

[J. J.]

Lieberman followed by Gephardt.  J. Danforth Edwards was possibly the worst choice for the Dem VP slot in the last 20 years.  Only Ferarro and Eagleton sink to his level.

For Eagleton, I refer to the political effect; shock treatment shouldn't be an issue.

[J. J.]

I'm non-partisan when it comes to idiots.  :-) 

There are two factors in choosing a VP nominee.  1.  Can the guy/gal run the government if the worse case happened.  2.  Does nominating the guy/gal give bring any EV with it.

Arguably, Quayle, in 1988, did some of number two; he attracted votes in the mid-west, helping in OH, IL, and KY.  It didn't in 1992.

Cheney, on the other hand, is outsanding for one.  Perhaps he is the most qualified VP since G. H. W. Bush, in terms of running the government.  In terms of two, he brings nothing to the table.

Lieberman, as a former CN AG and a Senator, was good with one; he boosted the ticket in FL in terms of two.

Edwards did very little as either an administrator or a legislator and added nothing to the ticket in terms of EV totals. 

Some number one good choices were:

D:  Johnson, Humpfrey, Muskie, Bentson, Gore, Lieberman.
R:   Lodge, Bush, Kemp, Cheney.

Some good number two choices were:

D:  Johnson, Humphrey, Mondale, Gore, Lieberman
R:  Agnew, Quayle (88), Bush.