SetterGuy, I would trust Bill's advice more than mine.
I can say, though, that with perch and GSH only in my pond that there hasn't been an overpopulation problem. I think DonoBBD said the same thing about his YP/shiners pond that it seemed to stay in balance.
I know the large adult YP will clean up on the YOY perch if they are available

People have proposed that GSH will eat the perch eggs but I have no idea if that is true.

At some point if your HSB don't make a showing then I'm guessing you would be ready to try to stock some HSB again? If the HSB will eventually be your main predator then they should also be able to make a dent in the small YP that will fit in their mouth. Stocking density of HSB will make a difference on the balance of predator/prey, but since you feed you can probably tolerate more YP eggs to grow up to be hungry momma perch.

I hope you have a good day at the pond today and keep us posted, send pictures!