Dip cleric/cloistered cleric and worship a LN or CN deity? You'll detect as an aura of law/chaos instead when the appropriate spells are used?
...I don't know if that would interact with the evil bit though, since the deity is neutral on that axis... But IIRC, the cleric detects only as a cleric of that deity to those sorts of spells.
Edit: Conversely, worship an acceptable LN w/ E leanings deity and use that as the explanation whenever it comes up.