Come to Texas.
What I'm getting is that you're looking for a place for a more or less permanent camp---an extended stealth camping trip.
Palo Duro Canyon
Sam Houston NF
Davy Crocket NF
Each of them offers something different. For trackless back country, Big Bend is it. The Grasslands offers rolling hills and post oak forests. Sam Houston and Davy Crocket offers deep piney woods. Palo Duro offers isolation and natural beauty.