When searching for synonyms for the word "radiately", there are a few options that come to mind. "Glowing" or "shining" are both great alternative words that can convey a similar meaning. "Beaming" and "gleaming" are also strong options worth considering. "Illuminated" could be used if you want to emphasize the brightness of the object or source emitting light. "Luminous" can also be used to describe something radiating or emitting light. Ultimately, the best synonym to use will depend on the context and tone of the sentence, but any of these options can help add variety and depth to your writing.