https://www.idahoaclimbingguide.com/grand-slam-peaks/

Russ Iverson posted the route:

I plan on Hiking the Rampart Range, from North to South. Far as I know, I don’t think anyone has done it…or recorded it on the web at least. Anyway, what I believe is to be the furthest North of RR is the where the S. Platte river meets Chatfield State Park. On the southern end, I would think it is where the RR runs into Ute Pass… or HWY 24. In theory, that could be anywhere along that border. But the most southern part of RR, and where it hits Hwy 24, is where Rampart Range Rd. Spills into Manitou Springs.

http://www.gjhikes.com/2009/08/date-august-23-2009-round-trip-distance.html

Wheeler Peak (13,161') is the New Mexico high point.  There seem to be a couple of main routes:  Bull of the Woods and from the Williams Lake TH.  The Bull of the Woods route has a Strava segment (ascent only), which records the FKTs as far as we know.

Another possibility is the "Wheeler-Kachina Traverse" (submitted by Tyler King):

The ascent of Mt Audubon from the Mitchell Lake TH is 3.9 miles with 2700 feet of elevation gain.  This is a VERY popular hike.  Note that you need a reservation to enter the Brainard Lake area of the Indian Peaks by motor vehicle during the peak season (mid-June through mid-October).

The Ascent and Round Trip have Strava segments.

Dave Shumway posted the route:

The Beaten Path travels 26.6 miles from East Rosebud to Cooke City.
The Ultra Beaten starts at East Rosebud, runs to Clarks Fork Trailhead (near Cooke City), and then back to East Rosebud, turning a common 3-5 day one way backpacking trip into The Ultra Beaten (53 miles - 85 kilometers).

http://www.simblissity.net/get-home.shtml

The G.E.T. offers a wild, scenic, diverse, yet also convenient way of discovering some of the most fascinating and little-known corners of the American Southwest.