The Eddiesville South - Cochetopa Ck. Trailhead is accessible by driving on many miles of Forest Service maintained gravel roads. As such, any number of basic, passenger type vehicles may be able to access this trailhead, but sometimes road damage from rains, ruts and runoff can create a hazard for lower clearance vehicles, therefore we recommend that this trailhead is best accessed by crossover style vehicles that have a little more clearance.
The most straightforward access to the Eddiesville South TH is from State Highway 114, which turns south from US 50, 7.5 miles east of Gunnison. The route to the TH is the same as for Stewart Creek. SH114 connects to the town of Saguache in the San Luis Valley by way of what is now called "North Pass." If coming from US 50, drive 20 miles south on SH114 and turn right onto NN14, aka: BLM 3083. If coming from Saguache and North Pass, the intersection is about 7.5 miles down from the pass. Once onto NN14, drive seven more miles on a well-maintained gravel road to the southernmost end of the two Dome Lakes and make a right turn at the end of the lake. Measure mileage from here. This will be CR2166, (aka: BLM 3086 or 15Gg). The gravel road circles the end of the lake, turns back north and goes one mile on the west side of the lake where you'll make a left turn to continue on CR2166. At about 4.2 miles, stay right. The road designation technically becomes 14Dd, but is still CR2166. Between miles 6 & 7, enter Forest Service land. The road designation becomes FS794 and the road condition deteriorates some. Remain on FS794 all the way to the Stewart Creek TH. Total mileage is just under 21. The Eddiesville TH is just under a half mile east of the Stewart Creek TH on the same road. There's a vault toilet here. The road makes a sharp turn to the right, then heads south a short distance to it's end at the boundary for the private ranch with limited parking available. The Continental Divide Trail #465 takes off to the SW initially to avoid crossing onto private property, then heads more south, skirting the ranch property for a mile and a half. Please be respectful of the private property.
In some older source books, one access to Stewart Creek/Eddiesville took you to the Old Agency station utilizing FS788 & 790. The route described above goes faster with less confusion. If you need more detail for access to this area, consult either of Roach's book on the 14ers or the high 13ers.
We managed to sleep in our truck at the trailhead, but you are right by a private ranch. Best to "camp" just back up the road at the Eddiesville TH.