Hi, J.M.
Did you decide to go ahead and take the cough medicine with codeiene? I don't know if it would be a problem or not. It seems to me that a small dose would probably not be an issue. I've taken a couple things since my severe tinnitus began that are supposed to be irritating, but had no real effect. One of them was the antibiotic, Cipro. It didn't make my tinnitus any worse than it already was.
I hope you're feeling better, and don't have a bad cough!