At one time or another, I have done my commute at every hour of the day. 2am, 8am, noon, 3pm, 9pm, and every other hour too. Commutes in the middle of the night are peaceful and I look forward to them.

Regarding sleep disruption, I attribute the exercise that I get by cycling to being able to sleep well when I sleep and being able to function well when my sleep schedule is anything but a schedule and is commonly deficient. I have always envied those people who could take a nap at the drop of a hat, but now I am finally fine tuning that skill.