The Whole World is Radioactive But normal amounts are not dangerous. It is only when radioactivity is present in highly concentrated amounts, such as those created by atomic and hydrogen bomb explosions, that it becomes dangerous. Radioactive fallout is sometimes highly concentrated. Yes, it could settle anywhere. The upper winds could carry fallout to most remote parts of the country.
Every citizen is a potential target for fallout.
Civil Defense officials and weather experts will estimate the probable path and speed of approaching fallout and keep you posted. Civil Defense radiological monitoring teams will detect fallout if it is present in your area. They will tell you when it is safe and when you must take protective measures. An old fashioned storm cave or root cellar is ideal. Stock it with food staples as Grandmother did.