Oklahoma Elk hunting is no mystery. Team Elk did a show out there. But yes private access in the core counties is HIGHLY sought after almost as much as some of the big private ranches in Southern NM and AZ. Outfitters pay big bucks for that Access in core counties surrounding the WMA's. So unless you have a relative that owes you very big its going to be tough.
The public draw on the WMA are rough on Non residents that dont normally hunt oklahoma year in year out for other species due to you have to have a Oklahoma hunting Liecense to enter. Non refundble licenses. But once drawn its pretty much 100% success