Chicago would be desperate to unload Boozer so they don't have to amnesty him, so your framework of the deal is Green for Boozer. The Celtics have to add salary and Chicago has to add assets. I'd be guessing the Celtics would want Jimmy Butler as part of the deal. Chicago has all their own picks plus a protected pick from Sacramento as early as next year and the right to swap firsts with Cleveland in 2015.
So, I'd guess Chicago would offer Boozer and Butler for Green. They would also probably take Brandon Bass, or they may prefer Joel Anthony, with Taj Gibson under contract and Mirotic possibly incoming. They might want to try to include Jerryd Bayless in a sign-and-trade (since they have shown some interested in Jordan Crawford). The deal would then depend on how many picks the Bulls would have to throw in for Ainge to be interested.