End of story: In my case (probably unusual), the “quickest and easiest” path turned out to be the “most radical”.
- Attach markers to the important joints of a Unity rig
- Play the animation in Unity. Screen capture a video (front and side view)
- Animate a clean Blender rig from scratch, matching the video motions
The intuitive approach (import FBX and fiddle/tweak) actually took more time and gave an inferior result. I had a similar experience previously with a walk cycle.
For what little it’s worth.