HBG are most certainly able to reproduce... the benefit comes from the initial stockers (F1's) severe male bias...90-95%.
I know you don't want to feed, but are you after a self-sustaining population of fish, or are you willing to periodically restock?
If you don't want to restock regularly, I like the LMB, BG, CC scenario.
If you're willing to replenish the fish as they're removed, I like HSB, HBG, and some CC...BUT in my opinion, both combos will benefit greatly from supplemental feeding.
Whatever you decide, I would probably add some RES to the mix.