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This is a good place for taking young kids with little chance of trouble. There are two quite decent access points. For the first, drive the Middle Fork road 12.4 miles and park at the day-use lot on the right, opposite the entrance to the Taylor River RV campground. For the second, with much more available parking, stop at the Middle Fork Trailhead lot on the right at 12.0 miles. Instead of descending to the river, cross back over the main road and look for the CCC access trail almost straight across from the trailhead lot.
This area is "heavily managed" but it was done with some care, and the area appears healthy. There is a rich mossy blanket under the heavy canopy.
I favor the Taylor River access because it leads to a little, safe, clear little creek at 1/4 mile that kids will probably love but is otherwise unimportant. A creek crossing at 1.5 miles is more of a project, but it too is a mere stone-hop when water levels are low.

Another creek crossing at 1.5 miles is a little more of a project, but it too is a mere stone-hop when water levels are low.
At 2.3 miles, a section of the old CCC road is obliterated by the current Middle Fork road. Continue along the side of the road 0.4 miles and find where the CCC road, now looking a bit rougher, slants away again. This is the quietest and wildest section, with little creeks and no little wheels.
My stopping point is beyond, at mile 5.3, at a junction with the currently-maintained road that provides popular access for vehicles to reach slash roads on higher slopes.