There are numerous synonyms for the phrase "traveled over." These include journeyed across, voyaged across, crossed over, explored, wandered through, toured, trekked across, traversed, roamed through, hiked over, meandered across, and ventured through. Each of these words conveys a slightly different nuance, such as the adventurous thrill of exploring, the aimlessness of wandering, or the effort required by hiking. Whether you are describing a physical journey or a figurative one, choosing the right synonym for "traveled over" can add color, depth, and clarity to your writing.