Oops. Thanks for sharing.
For me personally, the flight is over once the engine has shut down, not earlier. So my hand will be on or near the throttle at least until the aircraft has slowed down to walking speed, and I try to keep distractions such as shutting down stuff, to a minimum.
As far as the engine inspection is concerned, I'm given to understand that the Rotax, after a prop strike, only needs the gearbox inspection, not a complete teardown of the crankcase assembly. This is because the gearbox provides pretty good insulation against the shock loads caused by a prop strike. But you'd have to verify that with a competent engineer.