Your post made me take a step back and realize that most of the day-in, day-out communication on Skype is less pressing than I originally thought. There are times when it's important to be around all day, such as during release sprints, but other than that, as time goes on it seems it will be less important that I'm on schedule with the rest of the team. Certainly the benefits of me working after a solid 8 hours of sleep outweigh any negatives.
The approach I'm planning on taking from here on out is to get to bed around 4 AM. This will allow me to get up at noon, do any day activities I need to do, and then start work in the late afternoon where I can then overlap with the beginning of their day and be a part of the standups.
The approach I'm planning on taking from here on out is to get to bed around 4 AM. This will allow me to get up at noon, do any day activities I need to do, and then start work in the late afternoon where I can then overlap with the beginning of their day and be a part of the standups.