When something this bad gets called, the defensive coach has every right to ask for time and, once granted, approach the umpire (calmly helps) to ask for an explanation.
If what you state is accurate, then no way is that the correct call. This would only be right if:
- The umpire judged that the ball did not hit the bat. Possible, and the coach really won't know until he asks. If he says it did not, that is judgment and you're out of luck.
- The umpire judged that the batter did not offer at the pitch. If the umpire judged the ball did not touch the bat, then the next determination is if the batter offered at the pitch. In high school softball, just holding the bat in the strike zone constitutes an "offer". Here again, the coach needs to ask the right questions to know for sure if the umpire ruled this as an offer.
Once the coach has weeded out the judgment aspects of the call (which can't really be argued) he will know if the umpire is misapplying a rule. If that is the case, the coach has a leg to stand on if he can cite the correct rule.
If the umpire has the rule wrong, and it's a game where protests are allowed, then file the protest right there. Unfortunately, Ohio high school rules do not permit protests. All you can hope is that by methodically talking through the play and stating the correct rule, the light bulb will go off in the umpire's head, he will realize his mistake and be able to correct it.
While this call from your game seems horrible on the surface, I would really like to know the umpire's side, or what explanation he gave the coach for the call. There might be other factors you're not aware of or, possibly, that your coach is not aware of if he didn't take the time to get an explanation and ask the right questions.