If that is really a law, and the container must be labeled in the American way (with the name of the patient), foreigners are in trouble. They do not sell drugs that way in the rest of the world. Pills are sold in their original, factory issued, packaging, without any label with the patients name. The American way is actually much easier to fool around with, since checking if the pills actually are what is on the container is not easy. On the other hand, pills in blisters are harder to swap around.

Take a pill bottle with a fake label on it saying nitroglycerin, full of explosive warnings, skull and crossbones. Take it out of the bag and hand it very slowly and carefully to the officer for hand screening, and warn him it is a medical necessity and cannot be shaken around.