I ran through the year on the current SketchUp model of the home, and found that the current 4' overhang works well between April 15 and August 27, i.e., 134 days a year.
I also found that an overhang that extends 6 ft further out would do additional shading, namely Feb 15 to Oct 26, i.e., 254 days a year. Such an overhang would unfortunately start fighting the view of the mountain ridge. And we still have more than 100 days of potential sun "problems".
BTW, I also tried the model at 3pm, looking at a person sitting down near the window (like my current work situ). With the current overhang, she would be bothered by sun in her eyes from Oct 16 to Feb 28. With a 10' overhang she would not have any direct glare problems.