Dont tell them how much you paid -- yet.
nobody ever asked me what $ I had in my car...they just had very little luck figuring out what it was actually worth....and for me, this was beneficial because the only published credible sources are NADA classic.
Make noise, but be professional. Assuming you were not at fault, and you went to the doctor, the adjuster will also give you some money (not a lot) for your basic pain and suffering/soreness. If you have not been to the doctor, go now and establish your condition, get an X ray of your neck, etc. The other insurance co will pay the bills or reimburse you. You need to file a property damage and medical damage claim--you can do this with your company and they will try to help you collect.
I kept mine and I have a multi-year plan to fix it. If you are paying someone to cut metal and paint the car....it will be expensive, and quick.
Feel free to email me thru the forum if you have specific questions.
Good Luck!
-Ben