I am still not sure of your Milky Way h value calculation, particularly for a mass of 10e47 kg. I get my values from wikipedia.
http://en.wikipedia.org/wiki/Milky_Way
Milky way mass: 1.0-1.5e12 Solar Masses * 2.0e30 kg/sun = 2.0-3.0e42 kg
Distance: 8.0-8.6 kparsec = 2.5-2.7e20 meters
h=0.7-1.2e22kg/m for the Milky Way
This is much less than the h value you reversed engineered, by 5 orders of magnitude. I will suggest that I have already found an out, with the h value of the shapely super cluster. This would become the most precise measurement of m/d for this object yet.