Today we planned to continue hiking up Snake Gulch and turn left into an un-named canyon located about a mile from the usual trailhead.  When we got to the side canyon, we were relieved that there were no cliffs blocking our way.  Once we got into the canyon,  we started hiking up on the right side (creek left).  It was a bit steep.  Soon we saw what looked like a fairly good trail on the left side.  It looked too good to just be a game trail. We crossed the canyon and from then on we followed the trail to the rim.  It was much easier than Toothpick Canyon.  The following photos show the entrance to our exit canyon.