I would think the easiest would be to set the aircraft to 0 throttle, or perhaps even making a pilot death = engine death. Instantly turn off any auto trim, levelling, and kill the engine.
The aircraft would just float downwards towards the ground with a big ole pile of black smoke behind it.
As far as a notification box, I would think that's not needed. After all, you're not notified now if you have a pilot death. You just end up back in tower. If you bail from an aircraft normally, you can watch as that aircraft falls to the ground, so I'd think a dead-pilot aircraft would perform the same way (damage or no damage affecting it the same way as bailing). Only difference is pilot is back in tower, not in chute.