I'm really thinking the pump is shout. Sounds like a wrist pin is tapping or rod bearing. I'm thinking about putting a manual guage on it but my next question is, are these worth trying to rebuild or just throw a used engine in a send it to be traded?
I think a used engine is the way to go. There are plenty of these Odysseys/Pilots sitting in pull a part style lots. Most aren't wrecked, but are there because the transmission failed.