The most opposite antonym for the phrase "more near at hand" would be "distant" or "far away." Other possible antonyms include "removed," "detached," "inaccessible," "out of reach," or "off the beaten path." Each of these antonyms highlights a sense of distance, separation, or remoteness that lies in contrast to the idea of being closer or more readily available. While the original phrase suggests a greater degree of proximity or immediacy, these antonyms suggest a greater sense of distance or separation, either physically or metaphorically. Depending on the context, any of these antonyms could be used to emphasize a sense of disconnection or remoteness.