You might get by, but why risk it ?
Griffin Aluminum radiators can be had in 26" x 16" x 3" thick #1-25221-X with 1" tubes for $165
Summit Racing Part Number:GRI-1-55221-X with 1 1/4" tubes for $250
the tanks are both 3" so the thicker core only takes up 1/4" of fan clearance