The capital of the Cherokee Nation is about an hour's drive from Tulsa, in Tahlequah. That whole area is the territory of the Cherokee, and the Creek. My sister and brother-in-law -- though enrolled -- do not live on any reservation, but in what you might call a "suburb" of Tulsa, Broken Arrow.
Louisiana is a wonderful place, don't misunderstand, but my family goes back no more than two generations here. I miss Indian Country very much. We only left, because my husband could not find work there. Otherwise, I would have been perfectly happy to live there, until I died.
If you ever return, do try to visit the Cherokee. They are one of the "Five Civilized Tribes," you know
Jennifer