I would part what you can and then send it to the scrap yard or call one of those guys that will pay you $50 a haul away a car.
These guys will buy the battery:
https://www.hybridrestoration.com/recycling
Both of those insurance prices sound very high to me. For 6 months I pay $297 for the 2011 Acura TSX and $341 for the 2017 Bolt. I have the liability max to $500K and a $100 deductible for comp and $250 for collision. So I'm paying the equivalent of $106 a month for 2 cars and living in a major metro area.
You both mentioned a monthly rate. Hopefully you aren't actually paying for insurance by the month as that costs 15 - 20% more than paying every 6 months or yearly. (Progressive's longest payment term is every 6 months for auto)
Do you guys bundle? When I shop insurance I shop everything together: Homeowners, auto, motorcycle, umbrella, RV.
EDIT: I also did the Progressive Snapshot offer where they track your driving for 30 days. That dropped my rate 25%