Spring Valley Wildlife Area has a range a few miles north of Waynesville, just off US Rte. 42. The state also has one out at Tranquility Wildlife Area, in Adams County. In Kentucky the is Lloyd Wildlife Area near Crittendon.
The rest of the outdoor ones I know about within an hour or so of Cincy are private clubs. In no particular order these include Middletown Sportsmans (Middletown), Butler County Sportsmans (Millville), Fairfield Sportmans (New Baltimore), Miami Rifle and Pistol Club (Owensville), Clinton County Farmers and Sportsmans (Wilmington), and Izaac Walton Club (Oxford).