Pull together as many adverts as you can find for cars of similar age and condition to your car. Unless you have agreed value insurance, the insurance company will go for a trade value from Glass's guide or similar. Thats quick and easy. You have to convince them otherwise.
Time is on your side. The insurance company guy wont want an open file on his desk for too long so as long as you arent silly with stars in your eyes about valuation, string it out.