phillyinNJ - Spent a few years in Cherry Hill. Nice area.
I think the football model might be a better option. 2 Challenges and a 3rd if you win both. Just go out and say what the issue is and have an umpire in New York or whatever make a call. No one leaves the field and all that. As soon as the Manager leaves the dugout the play is under review. It could be over before he reaches the umpire. No more tantrums and kicking dirt and that stuff either.
Managers would actually have to decide if arguing over a stolen base call or a banger is worth a challenge. Might speed the game up to keep them in the dugout too. Make the pitcher throw in 12 seconds and the guy has to really hate the call to come out and it will end the whole tossing coaches and players thing too because if they don't like it then make the challenge, otherwise shut up about it and play ball.