Can anybody solve this hot start issue? I'm out of ideas!

That's an idea, pull cool air through it since air is such a good insulator. I wonder if an air pump could be found that is durable enough to last, but doesn't draw too many amps to drain the battery when the car is off. If you could set it to turn on after the engine is turned off and run for a certain amount of time, say 20 minutes, that could possibly work.

On the other hand, the cool plate would be simpler.