A wise man (whose identity I am unwise enough to have forgotten) recently stated here that "you can have a lot of little predators and a few big prey, or a lot of little prey and a few big predators" (or something to that effect).
You can get big BG by feeding and having the number of BG reduced - in three acres, lotsa small LMB are your best bet for that.
IME HSB are not as good a predator for BG as LMB are, BUT you can get great big HSB via feeding. Consider small, crowded LMB and trophy BG and trophy HSB. I think you could do that.