The air duct ends about 9 inches in front and above the air filter inlet port, there is plenty of air under there even without the duct. Just a case of Honda 's over-engineering on the ST1100.
Motor Cycle News (MCN) says "eliminated air snorkle" on later 1991 models.
"Carb icing occurs when there is humid air, and the temperature drop in the venturi causes the water vapour to freeze. The ice will form on the surfaces of the carburetor throat, further restricting it. This may increase the venturi effect initially, but eventually restricts airflow, perhaps even causing a complete blockage of the carburetor. Icing may also cause jamming of the mechanical parts of the carburetor, such as the throttle butterfly valve." from:
http://en.wikipedia.org/wiki/Carburetor_icing
Also try a bottle on gasoline dryer (Heet). The alchol, mixed with both water and gasoline and is burnt. However you probably are getting ethanol in your gasoline anyway.