There are several synonyms for the phrase "hold up to shame," which means to embarrass or humiliate someone publicly. One synonym is "flog publicly," which implies a severe punishment and public shame. Another synonym is "expose to ridicule," which suggests mocking or making fun of someone's actions or behavior. "Shaming," "disgrace," and "stigma" can also be used as synonyms in certain contexts. Additionally, "call out" is a modern phrase that means to publicly challenge or criticize someone's behavior or actions. No matter the synonym used, holding someone up to shame can have serious consequences and should be approached with care and consideration.