"Be-chance" is a rare and archaic word that means "to happen by chance or accident." While not commonly used today, there are several synonyms that can be used in its place. These include words like "occur," "transpire," "befall," "happen," and "take place." Depending on the context, other synonyms such as "arise," "develop," "come about," or "unfold" may also be appropriate. It's important to consider the tone and style of writing when selecting a synonym for "be-chance," as using too archaic or formal a term may not fit the desired effect. Regardless, there are plenty of alternatives available that can convey the same meaning in more modern language.