The South Rim Trail in Big Bend National Park is possibly its most iconic trail. This trail is typically done as a day hike or as a 2-3 day backpacking trip. The trail starts at the Chisos Basin parking lot trailhead and works its way up to the south rim. The route described here follows the South Rim and the highest trails in the park, including an out & back segment to summit Emory Peak. Running counterclockwise: Take the Laguna Meadows trail to the South Rim trail, East Rim trail, drop down to the Boot Canyon trail and up to Emory peak, the highest point in Big Bend. From Emory peak, you follow the Pinnacles Trail back to the Chisos trailhead. These are the highest elevations trails in the park and have some of the best views in the state.
Check out this trail on AllTrails.
Emory Peak only, without the full loop, has its own Route page: https://fastestknowntime.com/route/emory-peak-tx