These videos have given me an idea about a possible solution. Gimbal lock occurs in Anim8or on the "z" axis. In your figure, rotate the upper arm bone 90° on the "y" axis. This will flip what your "x" and "z" axis. This way, the motion you describe would cause Gimbal lock at the arms straight forward then down. Alternatively, you rotate the bone, in the figure, 45° and almost avoid Gimbal lock. Unfortunately, this would make simple 90° movements difficult, as you would have to change the "x" and "z" simultaneously.
Btw, I love these videos. I know, from experience, that Anim8or saves the rotation of bones in a figure as a quaternion. I never understood how these 4 values created the rotation I saw on the screen. Thank you so much for posting a link to these videos, hihosilver.