I mean...is there any kind of insurance I can buy where if my P2V+ crashes or it is lost accidentally I will recover some money? Any experience with a specific company or current offering in US market?
Nothing in the states that's realistic for a hobbyist. There are some that exist for commercial use. Obviously your homeowners insurance will cover loss from theft, but at the price of a P2 or P3, it's probably cheaper just buying a new one (depending on your deductible, obviously)