Just an idea to check out - not a suggestion.

In different bodies of water the survival rate of Walleye fry to adulthood may range from 1% to 10%, depending on predation and other factors. That figure is basically the same for stocked Saugeye fry. With Saugeye, a hybrid, however, only a small percentage of the fish that reach adulthood will be capable of producing viable eggs. Then, of course, if those eggs aren't deposited in the proper spawning areas, under the right conditions, and fertilized with milt from that equally small percentage of male Saugeyes who are virile, the whole point is moot.
In the right body of water, with the right conditions, Saugeye can and do reproduce, but in a limited way, and not in a way to sustain a population without stocking.

I have no idea how a saugeye tastes.