If you leave at 3 AM, and if you can reach Trail Camp in 4 hours, you will be on a great schedule. An hour later would mean your progress is likely to make you late to the summit, and maybe consider turning back at Trail Crest.

In summer, a person in good shape can make the summit from Trail Crest in one hour, but it took Shri S. 3 hours on April 19! So it really depends on how well you move over the snowy or icy path to the summit.