It might live...
I had a 63 Impala a friend owned that had a cracked block AND a ruptured tranny cooler in the radiator--you could pull the radiator cap,engine dipstick,and tranny dipstick,and all 3 looked like the same "fluid" ...a pink strawberry milk shake!..

...
It had a 283 and a powerglide..its former owner was too cheap to use antifreeze,because it leaked some--so he just added water ,or windshield washer fluid if he had the money..
My friend bought it for 50 bucks to use as a "winter beater"..we drove that thing all over the place,and beat the crap out of it too..eventually its frame gave way,and the rear axle's "panhard" rod broke away from the frame,and let the rear end sway around so much the tires sidewalls rubbed on the frame rails and popped!

..it still ran and drove though..cant kill those old powerglide trannys..or 283's either.
Your tranny might live too..positive thinking hurts nothing!~..I assume your putting in a new radiator or adding an aftermarket tranny cooler in place of the ruptured one in your radiator.. Wix makes an add on tranny filter that looks like a gas filter that goes in the cooler line..might get more of the water out of the tranny if you add one of those..
