I suppose you already know, but it bears repeating, that Hamilton County and Cincinnati are now operating under exactly the same concealed carry law as the entire state of Vermont.
Vermont: not exactly the sort of place you think of when somebody brings up images of the wild and wooly West, eh?
Maybe your governor is doing you a favor; by the time November rolls around and he's ready to sign a concealed carry law, perhaps the good citizens of Ohio, or at least those paying attention, will have realized that no such law is required!
No such law is Constitutional - if Ohio recognizes firearms carry as a right guaranteed by the State's constitution, no licensing or permitting can be required to exercise such a right. Thus ruled the Supreme Court of the US, on the basis of a First Amendment case brought before it.