If you don't mind test driving with the engine cover removed, you can run it until it dies, then remove the air cleaner and pump the throttle. If it's truly fuel starving, then the accelerator pump in the Rochester shouldn't have anything to pump and you should not see gas squirt into the front two barrels. Since the carb is brand new, it could assume with some confidence that if the rest of the fluid path is fine, then the thing would run.
Since you have to smog check i'm guessing I'm not near you or I would check it out. I love our old Winnie and it's cool to see other people enjoying them! Just got back from Jacksonville, NC last Saturday and ready to find the next place!