The traditional term "fox hunt" can be replaced with various synonyms depending on the context of the activity. Alternatives include "drag hunt," which simulates a fox chase by dragging a scent trail instead of a real animal. "Hound exercise" is another option which refers to the training of hunting hounds. "Mock hunt" is a softer term that often implies a less cruel form of hunting, without any actual animals being chased or killed. Other synonyms for the activity include "game chase" and "hunting party." Ultimately, the term used will depend on the type and intention of the hunt.