Paging Dr. FABO: Need help diagnosing a 318 stalling problem

I would take the lid off the carb and make sure the floats aren't full of gas and that the needle and seat actually work. If the carb hasn't been rebuilt in a long time it might be your issue. I might just put a kit in the carb quick just for piece of mind.

Is it a stock replacement fuel pump? If the fuel pressure is over about 5.5 psi, the carb won't be able to control the fuel.