The opposite of "crawls all over" is "barely touches." This phrase implies a lack of movement, with little or no contact between the object and the surface it is resting on. A more forceful antonym could be "sprints away," suggesting a sudden, rapid movement in the opposite direction. Other possible antonyms might include "floats above," "glides by," or "hovers nearby," each of which conveys a sense of distance, lightness or passivity. Overall, there are many words and phrases that could serve as antonyms for "crawls all over," depending on the context and the specific connotations that are desired.