Welcome! I'm out near Mustang.
The Oklahoma overland/off road scene isn't as active on the forums as it is on Facebook, it seems.
Due to lack of public land, Oklahoma doesn't have the big head-turners like many other states, but there's a few options:
There's lots of forest trails in SE Oklahoma with the Ouachita NF, and on into Arkansas with the same plus Ozarks.
There's the Oklahoma Adventure Trail that circumnavigates the whole state on back roads with points of interest along the way. Also the Green County Adventure Trail (GOAT) that does a big loop on the Eastern side.
Theres often events and meet-ups in Arkansas. There's a Tulsa Rigs and Coffee group on Facebook if you don't mind the drive.