When to go
Best season
January, February, March, December
Best time
Sunrise, Morning
Although the Sierra Nevada mountains look great all times of the year, they look spectacular from the Inyo Mountains when they are covered in snow. Choose a time in winter after there's been a storm (preferably a cold one so the snow line is low).
The shot was taken early morning after sunrise, but sunrise would be a great time to get a similar shot!
Field tips
Some safety tips: Since this is out of the way and requires not only off-road travel, but also a small hike, make sure you have let someone know where you plan on being. There should be cell phone service, but it is not a guarantee. Also, make sure you have water in the car and with you. Though the hike is short, there is no trail and the terrain can be rocky and loose, especially in the drainage where there are some steep cuts and large boulders. Be aware of your surroundings. Finally, do not attempt this if there is any chance of thunderstorms, flash floods are always a possibility in these types of areas.
Be sure to take into account the time it will take you to both drive and hike to the location so you don't miss the light you want. From Lone Pine, it will likely take a half hour or more to get to the parking spot, then the hike from there could take anywhere from 10 to 20+ min depending on how fast you hike, amount of gear, etc.
A telephoto lens is a must for this shot, otherwise you will just have a picture of a ridge blocking most of you view of the Sierra with a small Mount Whitney peaking through a nondescript notch. Zoom in and create the illusion that Mount Whitney is large and in charge! And make sure to have a tripod to keep that camera steady!
Expose for Mount Whitney only. The mountain will be in the light, while the ridge in the foreground will still be shaded. Exposing for the lit Mount Whitney will create a silhouette of the ridge which will frame the main subject (hint: Mount Whitney).
Current weather
Do nearby
After getting the shot you want, head back to the car and start the drive out. You can check out the remains of Owenyo, a former South Pacific narrow guage rail station and town site, along Owenyo Lone Pine Rd. Once you get back to Owenyo Lone Pine Rd. turn left and about 1.3 miles down the town site will be on your right. There are no buildings anymore, but the traces of a past life are still everywhere!
You can also head into Lone Pine for a great meal at the Alabama Hills Cafe, or even just head into the Alabama Hills and check out some other photo stops.