Stumped and Frustrated with a Holley 670 Hesitation

Ok, just did both things tapped the needle with a small punch and it seemed to be seated and didnt move at all. As for the pump itself. I didnt have what you described. I took the cover off and I had a diaphragm with a metal disc on both sides of it and a spring, then a small red flapper, in the float bowl housing. To me nothing could move around or come loose and everything was in good shape.

Well,, that's all I got,, and as AJ said,, the red flapper style can get hard or debris caught under it,, keep us posted,, I'd like to know how it's resolved,, hopefully with-out a new carb..