If it's a 240 and you were hit, chances are they are going to pay you out and salvage title the car. 240's aren't worth that much. By you stating you got hit sounds like the other party hit your car. So even if you don't have insurance you are covered.
When insurance is expired, it's expired. You can't pay to have any damages retroactive to when you were insured covered. That would be dumb.
I know that most insurance companies cover you for a couple days if you buy a car from a dealership but I don't know if the same goes for private party.
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