* Éamonn: This is probably the closest and most commonly used equivalent. It's a popular Irish name in its own right, and while not a direct translation, it shares similar connotations.
Other options, less common but possibly used, might draw from the components of the name Edward (e.g., "ead" suggesting "wealth", "ward" suggesting "guardian"), but these would be more contrived than Éamonn. There isn't a readily established equivalent based on direct translation of the name's etymology.