Anyway, this seems like it would be a way more effective thing for EAA to do than just about anything else -- I bet lots more people would be willing to pay more for meat, than would be convinceable to eat less meat directly.

That sounds like it could be a good idea. One immediate problem I see with this is that most consumers wouldn't be able to distinguish EAA's label from the dozens of nearly-meaningless labels such as "Free Range", "Cage-Free", etc.