From Ballycarton Wood follow the path running adjacent to the A2 for a short distance before the trail starts to climb through the forest. The trail meanders as you travel north gaining height before it undulates along the foot of the mountain. The route is waymarked throughout the forest. After 2 miles the forest opens to your right revealing the cliff face of Binevenagh where you may see ravens, peregrines, buzzards or even gliders soaring above you (from http://www.cycleni.com/64/ballycarton-woodbinevenagh-trail)
There are some really interesting single-tracks down through the trees, some with man made jumps included. Every now and then the fire track interrupts it but its easy to pick up on down.
(Suggested by Alan Johnston)