Few years ago I was watching a game of local football and upon returning to my car noticed a note on the windscreen saying someone had reversed into it. There was mostly just cosmetic damages. I took the car to the smash repairers local to me and they said it'd cost $250 to fix. I rang the person who left the note and they were more than happy, and willing, to pay it for me. Easy done. Faith in humanity restored. No insurance needed.

Have you sussed out the amount it'd cost to fix your car? That's probably the major thing to do - find out how hectic cost-wise it'd run either of you guys or your insurance.