I have seen this situation come up with quarterbacks and wide receivers where the quarterback will stare down the receiver after he drops a ball with a look of you better not do this again. The hope is that they will shame the receiver into playing better. In practice, I do not see how this could be an effective as a long term strategy in any sports.
Bottom line you are showing up your teammates and at the higher levels there is little place for it. I think you will have far better success by continuing to do what you are doing and focus on the next batter. From experience, I know that this can get old fast when you are icing down your arm from having to throw an additional 30 pitches a game due to errors, but it really is just part of a game. Scouts that watch you will want to see that you are a professional and are in control. Do not disappoint them. If anything, I would build your teammates up. More people respond to praise rather than criticism.
Here, is a technique you can use to help with these situations: Baseball Pitching Mind Technique
Baseball Training Tips