I would save your breath. I wish you the best of luck and I hope you get 4k dollars. But.... Insurance companies dont base there offers on any fair market value system that is actually used. Most insurance companies are offering less for replacement value then what I as a car dealer can buy them at auction for. For a consumer that means you get fucked.
In the past year it has gotten worse. Insurance companies are not keeping up with the used car market at all. Using a program to make up a value based on a bunch of information they think is comparable. Geico and Safe-auto are two of the biggest rip offs in that business.
Here is the program those two above I stated uses.
http://ccc.cccis.com/pages/ccc_valuescope__claim_services_solutions/92.php
Above is there actual website. They are a company contracted by larger insurance companies to make up a value of a car. I dont understand how someone can PAY a company to determine a value. Sounds fishy to me.
Below is a example of some of the shady stuff involved.
http://claimbuster.com/ccc_evaluation.php
Sorry to be long winded. I really hate insurance companies.
If you want some other advice send me a pm I might be able to point you in the right direction.
Good luck man.