If I exile the creature with Synod Sanctum, and sacrifice it afterwards, I become the controller of that creature indefinitely, right? But a better move seems to exile Custody Battle. I remain the controler of the creature and don't need to sacrifice Synod Sanctum to keep it on the battlefield.
But what happens to the enchantment once I sacrifice the Synod? I saw on the gatherer page of the Synod a user that says:
if an Aura is put onto the battlefield via an effect apart from it being cast, you choose something for it to enchant when it comes into play. You can even enchant permanents with shroud this way, because getting an aura into play this way doesn't count as targeting with a spell/ability.
Is that right?