The best diagnostic method for Clostridium-associated diarrhea, particularly caused by Clostridium difficile, is through the detection of C. difficile toxins in stool samples. This can be done using enzyme immunoassays or PCR testing for the toxin genes. Stool culture alone is not sufficient for diagnosing C. difficile infection, and blood cultures are typically negative for C. difficile. Toxin demonstration is the most accurate test, but none of the given options alone fully captures the best diagnostic approach.