Peregrinated is a word that means to travel or wander from place to place. There are several other words that can be used to express a similar sentiment. One possible alternative is "journeyed," which implies a sense of purposeful travel. "Roamed" and "wandered" both suggest a more aimless type of exploration. Another option could be "trekked," which conjures up images of a long and challenging journey. "Traversed" or "crossed" could also convey the same sense of moving from one place to another. Ultimately, the choice of synonym will depend on the exact nuance that the writer wants to convey.