The carb is plenty big. You are pulling air through it under pressure. I have a supercharger and it is placed between the carb and the intake manifold so it pulls air through the carb. Is this how your's is setup or are you pushing air into the carb under pressure? How many pounds of boost are you running? Are the throttle plates or shafts binding due to the pressure?
Does it remain running if you slowly depress the throttle to its maximum or does it die only when you floor it quickly?