I see chatter and "meaningful talk" as different things. To me, chatter means rah rah garbage. Meaningful talk is/are discussions about the pitcher, adjustments to make, what you see on the bases, how he pitched you, etc.
Try giving each player a game partner (different each game). It's their job to help their partners in any way they can during the game (cheer, offer advice, give suggestions, constructive criticism, talk about at-bats, plays in the field, reminders, etc.)
Tell them what they should be talking about.
Forces them to sit/speak to each guy on the team (eventually) and see value in everyone. Even the guys who don't play a lot feel they can contribute.
BaseballByTheYard