Here would be my take on it........

The GSH should be big enough ,3"+, to avoid being eaten by the LMB.
That means no food for the LMB until the GSH get older to spawn themselves. So the adult BG will spawn now giving food for those LMB till they get bigger, and will prevent the LMB from getting stunted. When it comes to LMB, they are eating machines. It would also be nice to still have some of those GSH around when you stock the HSB. So having the BG fry will help distract the LMB from the GSH. You will not be able to get GSH established so easily, once those LMB get a little bit bigger. In the long term, GSH will most likely disappear from the pond.