I do not think there is a good way to "clean" the galvanization, the darkening of the galvanization is oxidation, and the oils that had coated it during manufacturing have broken down and are no longer coating it,
I know some farmers paint here steel bins with aluminum paint, to "brighten" the old galv, sheets up some, and to cover any rust spots,
most acids will darken galvanized steel more, one can always use a power wire brush and possibly knock off the "patina", but your also removing the product that will keeps the steel from rusting, or at least making thinner,