Dam straight advice up there. It's pretty simple to run both KBB and NADA to find near scale of current market based on your particular car's stats and condition. Based on your condition and mileage you'll either be discouraged or hopefully pleased with the figure. That way you can at least anticipate the number the insurance is hoping to settle below. LOL IDK how your state runs, but IF the wreck's not chargeable to you, and IF you have C&C, and IF you retain all communications and dealings with just YOUR carrier, THEN you're in much better position to come out whole on the unfortunate experience.
Sorry, but you've already suffered loss to your car, you don't have to suffer a second time financially. I hope some of the accounting below can be translated to your situation. For reference, my son got reared in mine long enough ago that KBB valued it at $18k. Despite that, my carrier "initially" offered to total it out at $8k and the little pencilhead thought they were doing me a favor. Of course I escalated to the next rung of mid mngt. and the next no. was 10. The 'best and final' based on my printout was 12. I said I'll take the 18 that it's really worth to total it, or, you can just fix it!
Everything with new frame came to $12k+. They were gonna pay $2,500 for the tranny that went out right after all that, but I wanted only $1,000 to buy all the neat parts to redo it myself.
I may be preaching to the pulpit if you have experience with this ghit, but:
-It's not your insurance's (and by gawd definitely not the other insured's) job to do YOUR homework in rounding up the most favorable value of your damage; it's your job.
-Unless you've got only liability then under no circumstances EVER communicate directly with the other insured's carrier, only through yours.
-As mentioned document and substantiate your loss with FS and sold comps, guide values, anything you can print and send in to back yourself up
-Stay calm, calmly steer back to facts when (constantly) being distracted by gibberish to get you to agree to lessened settlement
-There's too many carriers out there who'll look at your rustbucket fully depreciated lo-brow 25-year old non-hybrid POS '4-dor Caprice' and offer $600 total to you. You get the picture. Set a number you can go to the mat with, and get the number of your state's insurance commission if things sound outright hinky.
The damage looks repairable with just a bunch of JY parts as mentioned, plus strategic new susp. brake steering pieces, a little frame straightener and paint. You could even find someone willing to 'part out' a complete car for way less than the insurance repair guide is showing for all the separate parts. But guys who know the car are probably the only ones who'll think that way.
I wouldn't be getting it towed anywhere at all until you can get clear agreed picture on settlement. Good luck, and report back imminent victory at a later date.
EDIT: Overpost - and yah Caddy- we're thinking the same on that towing it right away = not so good idea on several fronts. Whatever shop gets it without clear competitive agreement is gonna cutta fat hog eh.