Been there, done that. Let me tell you what I did.
2000 Grand Caravan. T-boned. Drove it home. Insurance had me take it to a preferred shop. Van sat there for weeks with no feedback. Finally told ins co I was taking it home and would keep the van. I listed all the new parts, tires, brakes, etc. Told ins co I would take it to my own body man. Suddenly the preferred shop started working on it. Went to the shop and took the keys, jumped the battery and drove it home. I leaned on the ins co and got an acceptable settlement. Took it to my guy and had it repaired. We got another 6 years of good service with it. Finally, at 13 years old and 153K miles, sold it to my son. It was worth about the same as if it had a clean title.
The reality is, if you are going to keep the vehicle and drive it to the end of usefulness, It really doesn't matter whither you have a salvage title or not. If, on the other hand, if your were planning to trade it in the near term, just take the settlement and move on.
Be honest but firm with the ins co. Talk to someone locally that you trust. Good luck,
Wayne