why do you feel that you need the mass....
in the illustration, pink is foam, green is built up area, and blue is the "bucket" area if you wish to make something like a coal barge, if you want to make a flat derrick for something like a crane, omit the blue. in this arrangement, it floats ON the foam board, which makes up the entirety of the real bottom of the barge. you still have to have the small holes in the corners to let the air trapped by the skirts to evacuate, but when removing it from the water, there is no "de-ballasting".