I believe a gizzard shad population in Kansas can fairly easily grow past the ability of "Kansas sized" northern LMB to consume the largest members. You then have the possibility of gizzard shad being a significant percentage of the total fish carrying capacity of your pond.
I have seen one poorly managed lake that was BG/LMB/CC and gizzard shad that suffered a massive fish kill. The huge proportion of dead fish were gizzard shad that ranged in size between 8-15". You had to scan the floaters pretty diligently to pick out the LMB.
[One of the good books in the Pond Boss library also warns against gizzard shad unless you have gigantic LMB, in my recollection.]
In a Kansas lake of that size, I would feed my BG commercial food (to grow the LMB), and try to get a good population of Golden Shiners going which also can get large enough to feed 6lb+ LMB.
I would also deliberately fish for flatheads. In a lake of that size, you could possibly have a couple of 40# flatheads that can and will eat 5lb+ LMB!
[I am definitely NOT an expert. Just saying what I have seen fishing bodies of waters in Kansas since I was big enough to hold a tiny Zebco rod and reel.]