[Redarrow32]

It may sound silly but you need to get to the root problem. Is it electrical or fuel related. The electrical solutions above sound possible. If it is electrical does heating the engines up have anything to do with it, (you said it would run then quite). I have also witnessed fuel problems for this also. The vent for the fuel tank was plugged by mud dobber wasps. While the fuel was being consumed by running, there was no air venting into the tank. When enough fuel was depleted it created a negative pressure in the tank and the engine would quite. Let it sit for a while, and the air pressure equalizes allowing fuel to flow again and the engine will run.