you could...park at the 260 trailhead N.E. of Christopher Creek. Head up Military Sinkhole then take the rim trail (Highline?) west a few miles and drop down into Drew Trail. Make you're way back down near Chris Creek and ride the road back or for all singletrack you take See Springs trial east and find your way back to the 260 TH. See Paul's, I think the route is laid out in there.
Note: Some hike a bike required to reach the rim, at least when I rode it and the Drew trail was a little hard to find, but it is there and drops steeply down the mountain at first.
Apparently you can hook this ride up with Derrik and Horton trails. I've hiked Horton, not sure how great of a mtb trail it is but if I remember much of it is wide jeep road/double track and the rest if tight singletrack that skirts the creek. I've only hiked a few minutes of Derrik but it seemed like a rideable trail. Looks like Epicrider has done it:
Map courtesy of Dale (Epicrider)