When we talk about "last hopes," we usually refer to the final opportunities or possible outcomes we have to achieve something or resolve a situation. However, there are several alternative ways to express this same idea. For example, you can use words like "final chance," "ultimate expectation," "endgame aspiration," "conclusive wish," or "supreme anticipation." Other synonyms for "last hopes" could be "crucial possibility," "decisive prospect," "critical expectation," or "essential desire." Ultimately, the choice depends on the context and the tone of the message, but these alternatives can add variety and freshness to your vocabulary.