So I think I've figured a ballsy way to stop Big Papi, just don't tell any other teams.
Basically you play the third and first baseman really far in. I mean REALLY far; like 3/4 of the way between the pitchers mound and home plate. As soon as the ball is pitched, the first and third basmen charge the plate waving their arms frantically in hopes of knocking the long ball down. So they might suffer some bruises, but at least they stop Big Papi.
Actually I would LOVE to see Giambi or Arod attempt this.