There are a number of synonyms that can be used in place of the term "BEAE". Some of the most common options include "beaming", "gleaming", "radiant", "shining", and "glowing". Each of these words conveys a sense of brightness and positivity, making them fitting replacements for BEAE. Other alternatives might include terms such as "luminous", "vibrant", "brilliant", "sparkling", or "dazzling". Ultimately, the choice of synonym will depend upon the context in which the word is being used, as well as the desired tone or mood of the communication in question.