I've looked around a little bit. Valuation tools on KBB and NADA are $2700 and $3350 respectively, assuming "very good" condition, which I think this car qualifies for. I've found similar Buicks in Tucson and Phoenix (100 miles away) on Craigslist offered for similar prices.

The $2042 offer is low in my opinion. I'm prepared to take a total loss settlement but I think they are low balling me. For what it is worth, I put $572 in the car 10 days ago for an oil pan gasket, tune, and window regulator work.

I don't think I'm going to accept this offer, not sure what will happen. I have their rental until Feb 14. Part of me thinks I should file a civil suit against their insured and let the insured raise hell with them.