Engine is supposed to get hot when you shut it down, there isn't a way i know of around that, except an electric water pump and fan setup that runs after the engine shuts down. Heat soak, take that coolant that was running at 180* being turned by the water pump...and stop it. All that heat from the block dramatically heats up the coolant that is now stuck in the block with no airflow, and no circulation. Your hard hot start may be due to vaporlock/fuel issues as well. But you definately need to get a timing light on it as well if you don't know where it is set.