What about making a couple of empty-of-plants spaces next to the wall so you can dump a yard at a time (or at least a couple wheelbarrows worth) over from the edge of the driveway? You could even put up stakes & chicken wire for a temporary "bin" so your pile is more vertical than spreading.
Might be worth looking into the price of having mulch delivered & spread... although you probably wouldn't get the same company back again (at least not at the "going rate" for spread mulch) once they figured out how much effort your garden required!
