Everycar is a good car for LSR. Some are just better. Given a class, Let's say "classic"; would you rather run a 55 Chevroler business coupe or 77 Chevrolet Monza. Seems like a no brainer.
However your picture looks like a 46-48 Ford. With a flatty you could be running against 37-38 Fords and fair pretty well. It's your call.
The big thing is Safety and everything needed for it to run within the SCTA-BNI rules. $$$$$$$$$$$$. All cars are race cars and must comply to applicable rules.
Looking into the USFRA 130 MPH class you could have a lot of fun without too much $$..............Good Luck