Well Josh has worn rings on his wedding finger before, but we will have to wait and see. I don't really see the need to keep the wedding secret after the fact, and after the initial flurry of interest from the DM and Just Jared type publications, they would probably be left alone. Maybe they want to keep the press guessing, for publicity for upcoming projects.
On the other hand it maybe a ring he is wearing for a show that has got stuck!