I have been taught by both doctors and players in general to stay away from the barbell bench pressing especially in heavy amounts.
Here is a post from
Eric Cressy's Website which I BELIEVE in:
As it relates to pitching, the fundamental problem with the conventional barbell bench press (as performed correctly, which it normally isn’t) is that it doesn’t really train scapular movement effectively. With push-up variations the scapulae are free to glide – just as they do when we pitch. When we bench, though, we cue athletes to lock the shoulder blades down and back to create a great foundation from which to press. It’s considerably different, as we essentially take away most (if not all) of scapular protraction.
Additionally, the closed-chain (movements when your hands or feet are in a constant, fixed position) nature of push-ups is much more shoulder friendly, even if pitching is an open-chain exercise (your hand or foot is free to move).
With dumbbell benching, we recognize that we get better range-of-motion, freer movement of the humerus (instead of being locked into internal rotation), and increased core activation – particularly if we’re doing alternating DB presses or 1-arm db presses. There is even a bit more scapular movement in these variations (even if we don’t actually coach it).
With a barbell bench press, you don’t really get any of these benefits – and it’s somewhat inferior from a range-of-motion standpoint. While it may allow you to jack up the weight and potentially put on muscle mass a bit more easily, the truth is that muscle mass here – particularly if it leads to restrictions in shoulder and scapular movement – won’t carry over to throwing the way the muscle mass in the lower half and upper back will.