I agree with Bret here...this is one of those situations that it really doesn't matter what verbiage you use, one, or in your case, both coaches aren't going to like the call. Especially with some of the coaches we have to deal with around here......
I know you know this, but even if the ball was completely in the batter's box, the batter still can't stick their elbow out to get hit by the pitch. Since the violation was the batter moving into the pitch, maybe it would have been better to emphasize that action in your sell as opposed to the location of the pitch outside of the batter's box. That may have eliminated the defensive coach asking for the strike.
I sent you a text taking a not so wild guess at which coach wanted the strike....let me know if I was right....