Meekstone- An old card, and possibly bad answer, but it ensures that if they can't get rid of it with the spirit/akroma combo, they probably won't win.
Akroma doesn't tap to attack
Goblin Bombardment/ Altar of Dementia
This also applies to Meekstone - Meandeck Oath could get away without running any non-counter answers because no one was expecting them. I'd expect oath decks to run cunning wishes (maybe 3, so they can intuition for them?) in the future, or some other answer.
Even if they don't, you still have to play creatures to win, so they can just oath off those. Running these also lowers your threat count.
Decks with access to Green and White can run Ray of Revelation, which is strong against oath. At the very least, it's a good sideboard card for Tog (who can intuition for it) and 4CC. But you don't have access to white.