In the angled one I made, I set the angle so the straight edge of the piano is parallel to the doorway opening. It's hard for me to visualize the difference with your suggestion.
Also, thanks for suggesting angling the other way, I quickly made two more versions:


Because that lefthand wall is the shortest wall in the room, I don't think it will work. In order to have enough room for my bench, I'd have to push the piano's tail into the bay window bump out, which I'd rather not do. Maybe... I'll keep looking at these and thinking on it.
Any other suggestions are welcome!!