The phrase "tempest-tost" refers to being violently tossed around by a storm. There are numerous synonyms that could be used to convey a similar meaning. One such synonym is "hurricane-tossed." This phrase suggests a powerful and chaotic movement caused by a storm. Another alternative could be "cyclone-tossed," which implies a spinning and tumbling motion that can occur during a storm. "Turbulent" and "rough" can also be used to describe the tumultuous conditions of being tossed around by a tempest. In all cases, these synonyms convey the idea of being violently thrown about by a powerful natural event.