Rubio would need to find his own equivalant of Dick Chenney or Joe Biden.
The problem is that the GOP is kind of lacking in elder statesman who would be good options at the moment. Who is the equivalent of Biden of Cheney now?
I guess two names that come to mind at the moment are Daniels and Huntsman. But I'm not sure Daniels would be interested, since his wife seemed to veto his potential 2012 presidential campaign, and she might well veto a VP campaign as well. And Huntsman comes with his own baggage within the party.
A generic problem for the GOP in 2016 is that many potential VP candidates are Senators who'll be running for reelection: Rubio himself, Ayotte, Portman, Thune. How many of them could actually pull off running for VP and Senate at the same time? Thune maybe, since he'll likely only face a token opponent for reelection, but the others probably can't.