Parrott Peak is likely the most popular mountain to run in the La Platas because it's trailhead is near the opening of La Plata Canyon, where the winter cutoff serves as the beginning of many ski-tours in the snowy months. This mountain has a standard USGS trail to the top, that is often combined with other peaks along the main ridge of the La Platas. 

Silver Mountain is the most prominent peak in the La Platas as viewed from Durango. Silver has the large east facing snowy bowl that is proudly visible from the Fort Lewis College campus. It has a standard USGS trail to the top, which involves climbing Deadwood Mountain, and traversing across to Silver Mountain. This is a round trip effort, from trail head to summit and back to trailhead

Babcock is the most veritable peak in the La Platas, with its multiple peaks, jagged summit, and steep couloirs that hold snow throughout the year. This peak has an established USGS trail to the top, which attracts runners who seek a steep alpine run. 

The loop starts near Ashford where the NDW splits.  I started in Wye and ran clockwise towards Canterbury then down to Dover then back to Wye. There are amazing views especially along the white cliffs from Dove to Folkestone.

https://www.nationaltrail.co.uk/en_GB/trails/north-downs-way/