The joke I have heard is that the best way to catch sharks is to fish for drum. Fishing for drum you can hook up with sandtigers and sandbar sharks pretty frequently. The tricky part is getting them in to the beach without them biting the line off or breaking it off! Like Pickle said, down near the point you see folks kayak baits out beyond the outer sandbar into deeper water to catch sharks. In addition to the two kinds I mentioned I've seen spinners and heard of hammerheads and blacktips being caught. I haven't seen one, but I've got to imagine that there are bull sharks out there too.