Auto Insurance Claims: Pay off car., 2006 bmw m3, kelly blue book

Question
The past month or so, I have been trying to sell my car which is a higher end car. As of the other day, My car was backed into, The other person was at fault and takes responsibility. The damage is more then likely going to be repairable. Now my question- can I get the insurance to buy the car from me for atleast Kelly blue book or abouts even if the car can be repaired and not considered totaled. The value of the car has been compromised and now going to be a lot harder to sell. This will end up on carfax. The car before this was flawless. I know I won't buy a car like this if it had an accident on it, even if minor and if I did, wouldnt pay KBB price for it. So can I convince them To buy if I provide proof of it trying to be sold at time of accident? Have them buy it and deal with the car. Car is a 2006 BMW M3 with only 17k mi on it. Now I feel screwed because of this accident and stuck with a car that won't sell for what I was selling for.

Answer
The insurance company owes the cost of restoring the car to pre-loss condition.  

The fact that you personally would not buy a car that has been in a minor accident has absolutely nothing to do with what they owe.

Cars get into accidents.  That is why the collision repair industry exists and why the manufacturers make replacement parts.

They are not going to buy your car from you.