Antonyms for "stomping grounds" might include "foreign territory," "unknown territory," "new environment," "strange lands," or "unfamiliar surroundings." While "stomping grounds" usually refers to a familiar place where one frequently visits or spent a lot of time at, these antonyms emphasize the opposite - a place that is not known or familiar to someone. They can be used to describe a new job, a new school, a different neighborhood or city, or simply an area that one has never visited before. Using these antonyms can add interest and variety to writing where a character is navigating new or uncomfortable surroundings.