If the carb is empty the fuel is going out the vents, or it has an internal leak that only happens in the perfect storm..
A long, long long time ago (probably about 1984 or 85) Holley sent out some power valves that would lose tension when hot and they would open up. Is it going rich right before it gets lean? Those P V's were a nightmare for a while.
You need to figure out where the fuel is going. It is either out the vent , through the power valve or you have a fuel pump that is leaking internally when everything is just right.