Unfortunately, at least with State Farm, motorized vehicles not used to maintain your home, are not covered by a homeowners insurance policy. I discovered thsi a few years back because I one of those cheap ass stand-up gas powered scooters that goes like 25mph. They came into my garage, stole my mountain bike, my sub out of my truck, my scooter, and a bunch of power tools. Sub covered under vehicle policy only, even though vehicle was in my garage, and the scooter not covered because it is gas powered and doesn't have its own insurance policy, and it's not used to maintain the home (i.e. lawn power, weed eater, etc.)
Really sucks to hear about that. I'd focus on people that live near you and have seen it out before.