I figured out is it very different from state to state. I'm originally from Oklahoma where leasing hunting land is a relatively new thing. Most people find land to hunt on by word of mouth and usually don't have to pay a lease fee. I had free access to over 3500 acres when I lived there. I've been in Georgia now for 6 years. From the first day I moved here, I found out that it is very difficult to find any land, other than public, to hunt on for free. Virtually everyone who hunts on private land is a member of a hunting club that leases land. Most of the private land in GA is owned by paper/timber companies that lease tracts of land to hunters. But in Oklahoma, the majority of land is owned by farmers.
So, if in Ohio, leasing land is a relatively new thing and farmers own the majority of private land, you can probably start by looking for an area that you are interested in, then find out who owns it at the county assessor’s office. Then contact the land owner directly. Chances are that they have never been approached to lease their land for hunting rights. You can probably get a decent price, depending upon how popular leasing is in your state. In GA, the average annual lease price for a tract of land ranges from $7 to $10 an acre. The closer you are to an area known for big deer, the bigger the price.