I'd try making shark fin soup IF I caught the shark myself and kept the whole thing. Shark is very good meat, and the skin is awesome for projects.
Unfortunately, there's way more demand for the fins than for the rest of the shark. The expense in icing them down and hauling them to market in time before they spoil is more than they would get for the catch. Fins are dried and so they have little expense once the fin is on the boat. It's a horrendously wasteful practice.
I don't understand people who object to eating deer as the "THey're wild animals!!" I mean, sometimes it's the exact same people who INSIST that one "free range, organic, antibiotic-free, no-hormone" meat is okay to eat... but deer(who meet all those requirements and then some) are NOT okay? Seems bizarre to me.