It has been my experience of late that radiator shops are not what they used to be. They will rarely agree to fix anything that old. Even if you get a re-core it's going to be about $400, which is about what a complete new one costs.
There are a lot of good aftermarket aluminum radiators available
for reasonable prices.
Fred


1956 3100 Pickup/Red/350/3sp OD/PS/Disc Brakes
1957 Bel Air Sport Coupe/Red/355/TH350/PS/Disc Brakes
2017 Silverado LT Single Cab SB/Black/5.3/6 Speed Trans
1947 Willys CJ2A w/F-Head engine