Broken Hill is not a peak to come to Colorado for. But rather it's an extra summit to hike while you are in the area. From the pass between Broken Hill and Matterhorn it's all off trail. The North face of Broken hill looks intimidating and impossible to do without ropes, as the peak is guarded by a 50 foot cliff face. Although the West side of the peak provides a short steep loose climb to the top. The view from the top provides a great view of Uncompahgre, Wetterhorn, and Matterhorn.
Getting to the saddle either involves (preferably) hiking up from Matterhorn Creek Trail Head, or starting at Nellie Creek Trail Head. This peak is best hiked in the same day alongside with one of the other peaks in the area.
Check out the Triplog.
This hike is listed as One-Way.
When hiking several trails on a single "hike", log it with a generic name that describes the hike. Then link the trails traveled, check out the example.