Pat, I lived in the Haskell and Tulsa area from 87-90'.  I have to laugh about the no trees comments in OK.  As you mentioned, that comment could be made of almost any state in the Union depending where you are standing at the moment.  If you happen to be in East River in South Dakota you could certainly claim the state has a flat treeless topography.  However, if you're West River, it certainly would change your perspective.  I did fish a stock dams around Coalgate one March. 

I grew up hunting on the Arkansas side of the Ouchita Mountains, but there is great hunting on the Oklahoma side and lots of public land in Southeast Oklahoma, free camping too. Check out McCurtain County,,,, Broken Bow area...

Here is a Oklahoma State link with Maps and all kinds of information on public hunting grounds....

https://www.wildlifedepartment.com/hunting/where-to-hunt

list of about every archery club in Oklahoma,,,,

https://asaarchery.com/about-asa-federation/current-clubs/156-oklahoma

McCurtain County Hunting link,,,,

https://visitmccurtaincounty.com/activities/outdoor-adventure/hunting/

There is plenty of good hog hunting in Oklahoma, Turkey too, how could you go wrong with a place named Broken Bow,,,