A bit late, I know the location from my younger days, I have seen the fish schooled up off the southern tip however its very dangerous and just not worth the risk ,a wave would knock you down and the tide carry you way.
Shakey rock is near deep water but he cross current usually makes fishing difficult. The ledges just past the bight might be worth a go, I've caught drummer in close, never seen anyone kingy fish though, you can catch pike here,might be worth live baiting.
All in all looking a bit further north might be better if you want kingfish.
Charles