Since it's extremely unlikely that radiation will reach here in any dangerous amounts, why would anyone want to check the ingredients of their table salt? It's either a problem and needs to be treated with the proper materials, or it isn't a problem.
The approved dose of iodine in table salt is 150 micrograms per day. The medically-prescribed dose of Potassium Iodide is 130 mg, about 866 TIMES the daily dose of iodized table salt.
Sue