Glenn:
In my 30 years of playing tournaments and twenty years as a staff member and volunteer in golf associations, I've heard all the complaints about how the game is managed. What you are talking about is hardly news or newsworthy.
The OGA exists to run just a few events. The five regional golf associations (GCGA, MVGA, TDGA, CDGA, NOGA) provide the bulk of the tournamnet opportunities, as you know. I know the GCGA Met Championship is match play. I don't know if the others have a match play, but I believe several do. I can tell you it is not geting any easier for the GCGA to recruit courses to host the tournament.
I don't know what your golf situation is, but if you are a member of a private club, please go sell to your board the idea of giving up the golf course for six days in the middle of the golf season, especially in Ohio and other limited season states. If you are a public golfer, as am I, go convince the owner to forego the green fee and cart revenue; alternatively, go convince the association board to pay the fees. You are in for a challenge.
In short, many course do not want association tournaments at all, and certainly not match play events, and most of all not events that do not produce revenue.
Yes, some state associations have match play events and are successful at getting top notch venues. They can still do it because of history, tradition, longstanding leadership, huge volunteer forces, incredible PR efforts, and some even compensate the sites to some degree. But they have to fight the battle to keep match play going every year, and have to conceed more and more to the courses, such as permitting non-tournament play on tournament days when possible, monetary compensation, gift certificate purchases, etc.
But many associaitons do not have match play events, and some have dropped the match play format due to the logistics. Some have researched starting or restarting match play events, and have been discouraged by the challenges of doing so. It aint easy to get these done, believe me.
Call Jim Popa at the OGA and ask him why there is no state match play championship. Then come back here and report what you found out. But I bet you won't have learned anything new since reading this post.