I went to the ASA site and read (very stimulating- NOT) the "berths" sections.
It appears Ohio has 2 bids plus two for having a large association- that makes 4.
Also Cleveland, Cinci, and Dayton each have one.
So for Ohio - not looking at teams that can receive a berth from the prior year's ASA regional nationals, nationals, HOF, or other States - Ohio has a total of 6 bids.
I apologize if I am incorrect- at leats it's better then no response from ASA