Is your primary goal to catch big bluegill or big bass, or some of both? CNBG would almost certainly get bigger in your area, probably substantially so. They're also a really beautiful fish. I've had the privilege to catch a few and would highly recommend them.
Tiger bass are supposed to be as easy to catch as northern-strain; it's the pure Floridas that are lure-shy. The tiger bass would definitely get bigger than northern-strain. It is conceivable that due to their larger size the tiger bass could eat more large bluegill.