Just to be clear... you can turn your pump on, build pressure, then.....pump it 15 times, physically watch the acc pump squirter shoot fuel into the intake, and it still won't start?
Are your float levels full in this "no start" condition? How long are you letting the pump run?
If your acc pumps are shooting fuel when you pump it...it should start. I don't think they are functioning if you can't pump it and get it to start......
Does the carb have a choke? If you are content, then that's good, but seems more is going on.