Running the bowls dry does not cause a miss. Just makes it run out of gas, and I think we all know what that "baaaaaaaaw" is like.
Just because your fuel pump is capable of flowing 97gph doesn't mean that it is getting anywhere near that much to the carb inlet. You need to install a fuel pressure guage out by your windshield wiper & monitor the pressure at the carb inlet.
Please inform us of exactly which fuel pump you are using, most REAL pumps have an external regulator to install near the carb, how can an internal regged pump know how much is making it to the carb? Any tight bends, restrictions, restrictive filter, etc., will make the pump "think" it has reached full pressure or the bowls are full!!! You are probably making enough power to move up to .500" fuel line as well.