The easiest way to avoid the radiation is to drive to Arizona for the winter. If you have your heart set on going to Thailand, look for lead lined bags that are used to protect film. Your best bet is to request your bag be hand inspected. I don't know if they will do that in other countries but they should do it in the USA. I don't know if the radiation is strong enough to do any damage to your supplements but I would want to avoid radiated pills just to be on the safe side.