I found a nice mountain bike trail map online for trails near Seawell School in Chapel Hill.
Just a short drive - and the trails were very nice.
We didn't go on any of the "expert" ones this time. Just rode around for a couple of hours. Some nice hills to climb. Very shady and comfortable.
Just as we were about to call it a day, I saw this lovely little fawn. Not the slightest bid afraid - he/she actually stayed right there as we rode by!