Please Note: This peak is included as part of a sequenced, two-vehicle shuttle route description for the Mummy range, including Ypsilon Mountain, Fairchild, Hagues and Mummy. See those peaks for further details if needed. All-aboard for a mega peak day.
From the Chapin Pass TH, head NE on the Chapin Creek trail toward Chapin Pass and then turn east on another trail that leads to Mt. Chapin. This trail does not show on the USGS map but the lower portion of it is indicated on the park brochure map and the NFS map for Arapaho/Roosevelt. Those maps only show it as far as a little above treeline. Since Mount Chapin is a ranked 12er, you might consider tagging it as you pass by, but for the approach to Chiquita, Ypsilon, Fairchild and Hagues, the goal is to reach the saddle between Chapin and Mount Chiquita. To reach that saddle, follow an easy trail that contours upward across easy tundra terrain bedecked with alpine wildflowers.
From the saddle between Mount Chapin and Mount Chiquita, hike NE along a very broad ridge to the summit. You'll be hiking on mostly tundra that will give way to more embedded rocks and some rocky talus. Enjoy the wildflower display.
Links to other information, routes & trip reports for this peak that may be helpful.