When I got into my accident (i had the green, no fault) my father and I prepared a document of printouts from autotrader, various sites of my car, trim etc. My accord was also in good shape like yours, and they gave me market value for that car at the time, which was more than I paid for. It was enough for my RX-7 and the oil cooler it needed plus repair, and then a LOT left over. Be rational, and prepare documents showing condition and current values of your car in pristine condition. It helped me, but we were dealing with Grange. I don't know how State Farm/Allstate will work with that.