There are several MTB races that share portions of the CT that everyone should be aware of. I would try to avoid hiking the sections of the CT when the Breckenridge 100 and Leadville 100 MTB races are occuring:
Leadville races http://www.leadvilletrail100.com/lt100races.aspx
Breckenridge race
http://www.warriorscycling.com/events/breck.php
Leadville also has several other races (including the Leadville 100 ultra).
Just something to keep in mind as your plan your CT trip…Ron
San Juan Ron