Thank you for the comments and critique everyone. Mt. LeConte has very rustic cabins on top that you hike and climb to and if reserved, can stay overnight. We stayed there and in the morning rose in the dark and trekked to the area in the photograph based on where my app - The Photographer's Ephemeris - said the sun would rise. There are six trails leading to the top and we were on the Alum Cave Trail - beautiful views.
Mark