The Lower Canyon - Approach from the South
A cairned route descends from the parking area to the floor of White Canyon. This starts off to the right, winds back around a promontory then descends a steepish rock that is moderately difficult to come back up, traverses back to the right side and drops quite far then finally returns to the left and down to the streambed. Despite the cairns, the way ahead is not always obvious. The mouth of Cheesebox Canyon is just opposite, though this is blocked by a short, muddy, overgrown stretch ending at a pool beneath a dryfall. This can't easily be climbed so instead the canyon may be entered by scrambling up the cliffs to the right, using a tree stump for assistance at one point, then back down the far side, arriving on a bench above a shallow, curving narrows section that precedes the falls.
Upstream, the going is generally easy for a couple of miles but progress is slower than might be expected as the canyon has patches of soft sand, many large boulders, and trees, bushes and cacti that sometimes block the streamway. The rocks are part of the Cedar Mesa formation, here in various shades of red, white and grey. Eventually the ravine becomes a little narrower, more winding and less obstructed, with short rocky channels and plateaus marked by water-carved erosional patterns. A side canyon joins from the right, then the main passage continues without much elevation gain until the drainage enters a long, murky pool with a narrow crack in the cliffs that rise up just beyond. This can be bypassed by climbing up to the right - a route marked by cairns - and walking on a ledge above a 50 meter slot section which ends under a dryfall; the round trip to here is around 4 hours. Beyond this point, the canyon becomes temporarily wider once more then later has other short enclosed sections, pools and dryfalls but no significant extended narrows until a further 2 miles, near the point where the canyon divides into left and right forks.
The Upper Canyon - Approach from the North
The Cheesebox Road parallels the canyon about half a mile to the northwest and allows relatively easy access via several entry routes to different parts of the gorge. For those without a 4WD vehicle, one alternative to road walking the full 11 miles to the side canyon entrance at the north end of Found Mesa is to take the path into the lower end of Cheesebox Canyon, walk upstream for about a mile, climb the cliffs on the north side and hike across the flat plateau, meeting the road 4 miles from the destination. The total distance by this route is around 7 miles and took me 4 hours; more interesting than walking along the road though probably taking about the same time.
The side canyon is short, and deepens, as do most ravines hereabouts, via a series of sheer falls so an easy way in is not obvious. The best route is along the east side, across or around two shallow tributary ravines and almost as far as the edge of Cheesebox, then down the cliffs above the very lower end of the side canyon. One of the vertical rock layers appears to have only one way down, but the descent is generally straightforward. An alcove in the cliffs on the east side contains a small stone ruin, possibly Anasazi.
Upstream, the main canyon has nice narrows containing shallow pools and dryfalls. Rocks are curving and light colored, bearing thin, stripy patterns and well lit if the sun is in the correct position. Downstream is similarly pretty, and soon has one larger drop into a deeper pool before the slot opens out to a wider section with cottonwood trees in the streamway. The next 1.5 miles have many more narrows interspersed with open parts, but also places requiring rappelling, downclimbing, wading and even swimming, so for those not equipped for technical canyoneering, the amount of canyon that can be explored is quite short, yet it is still worth the long hike or drive to get there.