Well I borrowed another carburetor from a club member and the problem went away. So we're going to go back and double check my carburetor again.
Thanks again for all the helpful answers for my problem. When we find the source, I'll add it onto this post for future reference.
Gary, now that you're sure its fuel, I can add one last idea. My coupe had the 'start, run a short time and die' problem too. I had removed, cleaned and measured the jets. I eventually found that the cap jet was leaking at its base where the gasket is. I discovered this by using my longest finger and touching the jets to find out why the carb intake area was wet. I had a small camera for the phone and ultimately looked inside. I switched from the little red gaskets to the black ones from Brattons and the leaking stopped.