Yup, The Golden Jaguar of Atahualpa is correct. And yes, I guess me talking about it a lot gives it away.

King Tut's Cobra Staff was a very good guess though. But the Orange Iguanas and Green Monkeys were eliminated in the moat for that episode. And David actually completes three rooms (Shrine, Torch Room, and Well) before reaching the staff. But this answer almost fits the question.