From the parking area, hike south and cross the Lake Fork of the Gunnison River on a good bridge. The popular and well-used trail stays on the north side of the creek and usually well above the creek as it passes through meadows and forest for the first two miles. Continue hiking the trail further up the drainage above tree line to about 12,400 where it leaves the valley floor and begins to ascend to the ridge that connects Handies and Whitecross to the west. The trail passes above a small tarn at 12,765 ft. When you see this little lake, head directly for the low spot on the Handies/Whitecross connecting ridge, hiking on some tundra, talus and scree. Once on the ridge, turn NE and hike along the ridge crest to the summit on mostly scree and rock. From the summit, gaze back down upon the Lake Fork River far below and where your hike began. Watch the distant, ant-like figures of hordes of hikers heading for Handies Peak in the distance and be glad you're not part of that crowd.
For the descent, either return the way you came, or for the more adventurous, head down the ENE ridge of the peak on mostly talus and rocks all the way back down to tree line. Once you encounter trees, follow the ridge further down as it turns more to the east and begins to enter conifer forest and later on, aspens. You'll have a good half mile of bushwhacking on some moderately steep terrain, but you will have saved nearly two miles of trail hiking. Your choice.