East Ridge from Sheep Gulch:

Difficult Class 2 Hike. Ascend through Hope Pass and up Hope’s East Ridge. Summit is 13,933'

Nonstop gain from Trailhead to Summit.

https://www.14ers.com/route.php?route=201408141940373&type=13ers

Check Strava for times.  This guy did up & down in 2h17m19s https://www.strava.com/activities/2534875642/overview

This is probably the longest available route alongside and through The Caucasian Biosphere Reserve - 70 km from the North side along the Eastern border by the Big Tkhach through the Damn Gate and then 67 km to the South by the route #8 to Rosa Khutor. 

Route Link: https://connect.garmin.com/modern/activity/7448339141

Start: North end of Terror Lake on Kodiak Island where the road meets the lake.

End: Trailhead for Kashevaroff Mountain.