I think that trick only works once.
I doubt the Mittster would pick someone who would overshadow him.
Based on his record, that's not his preference for his top lieutenants and underlings.
I answered a FReeper a month or so ago who posed the same scenario. My answer still is no; not even SP as Veep under R. Because the order and balance of the Universe would be off kilter and wobbly if she accepted such an offer.