Does A Big CI Stroked SB get to a point where It is hard to keep cool?

Why a bigger radiator? My car has a generic 22" aluminum radiator from a local roundy round shop. It would be fine with a 22" copper radiator too.
Agreed....I run a 2 core 22" in my Barracuda and just bought a 22" 2 core Griffin for my Demon build.