East of Durango, a nice section of the Continental Divide National Scenic Trail follows the San Juans from Wolf Creek Pass to Spring Creek Pass (120 miles). A perfect time of year to try this hiking route is in August.
To reach the Spring Creek Pass trailhead head south on Hwy 149 from Lake City. The Wolf Creek Pass trailhead can be reached from Pagosa Springs by heading north on US 160 or south on US 160 from South Fork.
Overall, Continental Divide National Scenic Trail is the 2nd most popular hiking trail of all 72 hikes in Colorado.