Airborne3118, I'm no expert but it seems to me if you wanted to devastate the GSF population (which as Commander in Chief of the GSA Armed Forces I must admit causes me grave concern) then I would think that you would not want to add the BG immediately. Add the predators and let them eat through the GSF, then add the BG. But I'm certainly no expert and for obvious reasons don't endorse this plan at all.
Also remember that CC and LMB are two major predators both will get big and hungry and in a 3/4 acre pond you'll have to actively manage them.
But once again wait for some expert opinions.
