Mingus is up north, yes. Graham is down south.
For other trails, try:
Back way to Crown King
Sheeps Bridge (multiple trail options)
Or find a good club. Most are dominated by Wranglers, and some (from my own experience) look down on anything but Wranglers. But others (AZ Virtual Jeep Club comes to mind) are open to everyone.
'14 White Cherokee TH - Grand Canyon Brown
1.5" aussie lift, RRO step rails, rear hatch LED lighting, 31" KO2's, New transmission