Hi Rubby,
To answer the question about weedys having a wider chord:
As far as I can figure out, big long weedys have a problem where the centre of effort of the fin moves back, compared to a normal upright fin.
This has the effect of making the board want to turn downwind whenever a gust hits you...
JP get around this by having a wide chord at the root, and a narrow chord at the tip, this moves the centre of effort up (and therefore forward because the fin is raked).
As for whether your 48cm will work with your 11m? No idea