From the west edge of String Lake, Paintbrush Canyon trail branches off of the String Lake Trail
and heads northwest into Paintbrush Canyon. Initially the trail contours Rockchuck Peak (11,145') and isn't too steep. Once it turns due west, however, and enters the canyon proper, the trail becomes much steeper.
Until ~4.4miles, the trail is ensconced in trees, so the views are fleeting. Be on the lookout for moose - they love this less-trafficked trail.
At the 4.4 mile point, Paintbrush Canyon trail intersects Holly Lake
trail, which gives users the option to dip their feet in one of the beautiful high-alpine lakes Grand Teton has to offer. To continue on Paintbrush Canyon, stay left at this intersection. From here, the trail opens up to spectacular views of Mt. Woodring (11,518') to the north, The Jaw (11,327') and Mt. Saint John (11,379') to the south.
After the trail intersects with Holly Lake
trail a second time, Paintbrush Canyon trail eases a bit. Don't get comfy, though... After ~.5mi, Paintbrush Canyon makes its final push up to Paintbrush Divide
(10,720'). If you're attempting this trail prior to August, an ice axe may be necessary.
Push your way up this insanely steep pitch, and be sure to look back to see what you've accomplished. The views of the aforementioned mountains from here is incredible.