So my (unproven) theory is, the best way to improve your chances of getting MVP (besides actually having the biggest impact on the game) is to recommend 2 other players as MVP, but not a third, and then vote for nobody.
This encourages the two people you recommended to vote for you. By not voting for anyone, you prevent giving someone more votes than you got yourself. And of course, recommending only 2 players leaves people uncertain about the third, who will probably just vote you for being a nice guy and recommending others
Ofc I have zero proof that this works but it seems to