I had a clunking/ rattle on my 25 GT that was one of the upper strut mounts which was replaced under warranty.
The tech sent me a video where he was using a pry bar to gentle show how one side had play and the other side didn’t. Sorry I looked but don’t have the video anymore.
I’m surprised no one has come up with a solution for this. Maybe something as simple as a longer rod or extension that would allow you to articulate the mirror up further? Or maybe another Ford vehicle has a mirror that could be swapped to achieve that?