The fastest way is to take it to the TW, then disco it, and get 4 or 5 stuck fairies attacking it...Stand back and heal as needed. If you take it over to the alter, fairies will get stuck in the rocks in front of it..I have had as many as 8 stuck fairies attcking my CU at once.
I never use rotting corpses anymore, this method is 10x faster.