Rock Bass don't seem to thrive, reproduction-wise, acording to most reports from pond owners with them. So they may eat a number of your fingerlings, but they won't take over.
How big were the CNBG? Maybe someone can estimate how many the RB might eat before the CNBG spawn.
I think the FHM population will probably stay ahead of four RB.
How big are the Tiger Bass you're getting supposed to be?
P.S. Don't kill the neighbor - there'd be an inquiry.