Gen. Petraeus, a Reagan-esque choice considering Reagan was the last nominee to pick a former CIA Director as his running mate, would be the ultimate pick. Petraeus is easily my favorite choice with the possible exception of Rubio, but there is no indication he is interested.
Your ignorance is astonishing. General Petraeus is an appointed government official and, thus, is prohibited from taking any part of political campaigning.
Even if we assume that he'd resign from CIA directorship in order to run for Vice President, such a reason to quit a key intelligence job would be pretty damaging to his image.