Yes, I think Ouray would be a great place for an 18 year old who like to run and climb. There are many trails he could take. A drive up toward Yankee Boy Basin would be worth it for the views and the wild flowers. One of the main activities in the area is Jeep touring and rental. We've always come in from Montrose and have not towed over the "Million Dollar Highway" from Durango to Ouray (or the reverse, for that matter.) But many people have. That is a personal choice for those who are familiar with the route.
Depends on where you are coming from, but I highly recommend Ouray for a visit.