Exactly what others said. A good body guy/gal can fix that without cutting.
Assuming you own the title, the onus is on the insurance company of the driver that hit yours to make you whole.
From the photo, that's a clean car, not rusty beater. Unlike the typical 'old car' that has collision value of 600 - 1000 if running, you should not have a hassle or an arguement about its dollar value being several thous.
About 15 years ago my car was rear ended on an expressway as we slowed for a backed up exit. The other guy's insurance adjuster came, looked at the car, made his estimate and was fine with using the shop that had done the body and paint on the car a couple years before. That was it. Even gave me rental even though I didn't really nieed it. You never know.
You're in LA area, it should not be hard to find a quality shop. Start asking around at car shows, swap meets (Spring Fling is coming up), etc
