The insurance company will typically offer the car to you for what they can get for it, either from a rebuilder (unlikely if the car is rolled) or the scrapyard. I had this happen when I totalled my '95 after a relatively mild hit about 5 years ago. They had an offer in hand from a shop which would rebuild it and sell it with a salvage title, and they offered it to me for the same price.

Rgds,
Chris W.
replaced my '95 with another '95