If we didn’t get OSU scheduled while Meyer was there (with the Saban vs Meyer angle) I doubt it will ever happen.
I think out of the two Ohio St would be more willing to play us to a H/H. Michigan seems to like to play Pac 12 teams to H/H more than anyone else. But I would say that both would much prefer a neutral site over the H/H.
I think Oklahoma is probably the biggest name we could draw for a H/H that isn't on the future schedule list already.