The word "be-leaguered" implies a situation of great difficulty or distress, but there are several antonyms that connote a more positive state of affairs. "Prosperous" suggests a condition of economic or financial success, while "tranquil" evokes a peaceful, calm environment. "Serene" implies a sense of inner calm and tranquility, and "flourishing" connotes a thriving or vibrant state of being. Other antonyms for "be-leaguered" might include "fortunate," "content," "blessed," "comfortable," or "secure." Each of these words suggests a state of well-being, abundance, and ease that stands in direct contrast to the sense of struggle and challenge implied by "be-leaguered.