In a vacuum, batting eye. Even with complete crap ratings everywhere else, he'll still draw walks. High contact with no power, splits, eye will suck balls.
But, with the right combination of other ratings, I'd take contact over eye. I've had decent success with low BE players. A guy that hits .300 with a .320 OBP is better in my book than a player with .230/.350 assuming slugging is similar.