I called them up... reported it stolen. They said they would handle any recovery and gave me a rental (even though i didn't have the rental option on that car).
They even told me that if/when it was found, tell the police the insurance will handle picking up the car. They would then take it to a shop and make sure it was safe (no needles, drugs.. etc). In the end... they wrote off the car after it was gone for a week. Kind of an easy process all things considered.
Costco 'Connect' (by AmFam) for the win 🙂