You could put a motion to a general meeting. General meeting decisions over-ride the EC. I would emphasise that the situation of your unit is unique – smaller balcony but access to the side wall, therefore your proposal could not be a precedent for others. Indeed, I would include it in the motion that this approval is not to be a precedent for others since they can use their balconies.
I would sound people out to make sure you would have the numbers first.