The Continental Divide Trail is an amazing 3,100 mile trek from Mexico to Canada.
You can walk a tiny portion of this trail, walking northwest from Lobo Overlook (altitude 12,000′). We were there the first week of October and there was too much snow for hiking, but I was told at least 1/2 mile is easy walking. However, the first 1/4 mile is downhill, which means you are coming uphill on the return. The 3 mile road to Lobo Overlook is off the summit of Wolf Creek Pass. The view alone is worth the drive, even if you don’t walk the trail. Here is a description from Trails.com and another from AllTrails.