A fair number of folks have done this bike shuttle. I don't know the distance offhand (10-12 miles???), but the route is pretty simple.
When you come back out of the parking area at Cisco, there is a two track that cuts off to the right a couple of hundred yards out. Follow that all the way to the hardtop road by the railroad bridge coming in to the ranger station. It stays back from the rim quite a ways, unless to take a main cutoff on the Westwater side of Cottonwood Wash, which leads out to Little Hole, Hades Overlook, and Big Hole.
In between, there actually are a couple of cutoffs, but the main Kokopeli (which remains a two track used by vehicles as well) should be marked with the little brown carsonite signs. The only thing that might mess you up if you missed it, is a right turn just before the road crosses the railroad tracks. If you get to a railroad crossing, turn around, go back and take the turn you missed (now on your left about 100 yards back) and continue on the Kokopeli.
One possible fly in the ointment -- you have to cross Cottonwood Wash. If it's running high, then you may not want to do this. The rangers should have some idea of conditions there, so ask before you take off for Cisco and be prepared to beg a ride back with someone else if it seems unwise.
Hope this helps.