Alpha particles were not "unknown in the '70s." Ernest Rutherford and Paul Villard isolated alpha, beta, and gamma rays in 1899-1900. They're also not all that trackable, since they're easily blocked by a fairly thin amount of material. As long as the piece of Ray's suit was indoors, it probably wouldn't be detectable. They should've coined some other, fictitious name for the radiation the suit gave off.
Why is Savage so impatient, giving his people only 24 hours to reverse-engineer the tech? He's an immortal. He should be fine with the process taking years if necessary, which it probably would. And he should be experienced enough to know that you can't just force a scientific epiphany.