I am more familiar with the
Morgan dollars than the
Peace dollars, so not as much help with these. The detached olive branch you are referring to is the earlier "B1" reverse that was used but that only narrows it down to some extent but does help. The heavy circulated condition of your coin does not help the matter either. I have looked through the B1 reverse listings and have not found anything that can be easily matched (die cracks/breaks, rim
Cuds, clashing), so I am not much help here. Below is a link that seperates the B1 and B2 reverses, which may help you narrow it down, sorry I could not help any more than this.
LINK
http://vamworld.com/wiki/1922-D_VAM...verse_Design