The radiators in these cars (and any modern car) are not a lifetime part. If you don't know the service history a new radiator may not be a bad plan.
My 2002 with 106,000 miles that I bought new is on now on its second radiator it was under $150.00 for a replacement OEM style radiator. I have tracked it and AX'd it for years.
Thing is when the radiator fails your odds of spending serious $$$ to fix your baked motor increases exponentially.