I agree. If the catcher asks where the pitches are I'm going to tell her... a couple of times. If the coach asks in a reasonable manner, I'm going to answer him/her also.
"Coach, I've only made about three strike calls all the others have been your batters swinging and missing." Say it loud enough so both coaches can hear.
And if the opposing team has an assistant, TOSS THE IDIOT head coach. It may have been your reluctance to say what was going on, your secrectiveness, that created this situation. It's not for me to say but take a close look at what your comments were and each coach's statements were.... perhaps you incited him.... he's still an idiot for getting excited at you.
But don't take a coach's crap to the point that the crowd wants to join in. Toss him before the crowd even gets an idea of joining in.
JMHO Tony