Mopar 1978 360 / 71 727 need help with Torq converter

Hi Guys and Gals,

Scott here I need some help. This question is about my roadrunner, the 340 was pulled out for a rebuild. The car now has a 1978 360 stock with the exception of Eddy manifold, four barrel and headers. Assuming that the 360 are externally balanced, I need help choosing a stock converter to put back into the Trans that has just been rebuilt. The previous converter went bad and tour up the Trans, is what I am being told. The motor has and 360 flex plate from B$M with the half moon cut out. Does the flex plate and the stock flywheel make the converter natural balanced on a 1971 727?