No cough is “dry.” When you cough, you expel mucous in one form or another. If that liquid comes into contact with your eyes, inside your nose, or your mouth in any way, it can now spread into your body. Unbroken skin is not an effective vector for infection. If it’s on your skin and comes into contact with one of the aforementioned body parts, however, good luck!
“Airborne” means that it can float through the air and exist just by inhalation alone. THAT would be truly terrifying. Truth is that most infections are introduced through poor hygiene, lack of handwashing before eating, etc.
Airborne then would mean death to the human race as we know it. The cough to the face is deadly enough in my opinion and will still make this Ebola a widespread disease and almost certain pandemic proportions. I doubt any form of containment is even possible even with the non-aerosol version.