Early in the morning, crampons will be usefull as soon as you get to the snow. The snow will be hard and slipery, and even a medium slope can be dangerous without them. By about 9:00 - 10:00 am the snow will soften up enough you might be able to do without. But by then you will be high on the mountain where there is lots of snow.
It is still below freezing at night but quickly warms up, starting about 7-8 am. It could easily be up to around 50-60 degrees around 10000 - 11000 feet by noon. There is a slight cooling trend next week, which will help. You can look at the projected temperatures in Lone pine at
www.weather.com and then subtract about 3.5 degrees for every 1000 feet of elevation. That will give you a better guess.