My dad had a '60 Lincoln (final year with the big fishtail rear end) that also got wrecked, but not totaled in a snow storm in early 1965: he spun out in an intersection on his way home from work and sideswiped a tree. He said the car ran fine and looked perfect on the driver's side but every panel on the passenger's side was messed up.
Later in the year he was driving somewhere and was going past a Ford dealership when he saw a truck full of brand new Mustangs being delivered so he pulled in and parked with his driver's side facing the showroom and went to go look at the Mustangs. A salesman came out and my dad said they started talking and he picked out a car still on the truck he really liked and pointed to his Lincoln and asked what he could get on a trade for it. Without even going to check it out, the salesman threw out some number and my dad said he'd take it!
My dad being the honest guy he is though, said something like, "...but, you may want to go look at the other side of the car before we sign anything." Dealer took a look and stood buy his original offer and then my dad literally drove his metallic green fastback Mustang off the truck.
He always says it was a fun little car but after about 2 years he started having constant problems with it that he blamed on a bad batch of gasoline.