In a keeper league, I'm not even sure why you want to do this. It sounds like you're shooting for perfection. That's an impulse I can understand, but in a keeper no way I want to give a guy like Beckett away. Maybe down the road, if someone starts making a serious run at you. It sounds like your team is pretty kick-ass right now as it is.
I've won my primary league the last few years, and there's only one guy in the league who's secure enough to trade with me. Nobody wants to help that guy who's already number one. Thank of it as a compliment, Johnsamo. It's good to be the king.