Drive it again without a fuel cap, or atleast a loose cap. With two pumps running, it really hard to imagine your mechanical pump isn't flowing enough. Sounds more like vent issue or hot ignitionl. Take a cold bottle of water along, if it dies out with the tank cap loose, dump the water over the coil or wrap a towel around it with ice to cool it. If it takes right off, buy a new coil. If neither fix it, look at the pickup tube BD mentioned above.
Even with a hot coil and no running, it will still have fuel in the carb.
No fuel is caused by a no Vent issue, clogged pickup issue, or in your case, two bad pumps.
