Need to ID large fish seen near shore in GA

Not exactly a fishing post...but thought you guys could help. While kayaking
off of Little Tybee Island in GA this last weekend, I had the occasion to see a
very large fish jump from the water. I've been in the area for a while now and
have seen most everything that I have seen a dozen times or more, but this was
a new one to me. The fish was approx 6 ft long...maybe 7 or even 8. I saw it
from a distance, and unexpectedly so I cannot provide details. It was
nearshore in approx 5 feet of murky turbid water on a day in fairly rough water
(whitecaps, 1-1.5 ft waves). The fist time it lept, it's tail did not leave
the water. The second time (about 15 minutes later) it cleared the water
entirely. Both times, it launched itself at about a 30 degree angle to the
surface and maintained the angle as it fell back to the water. There was no
twisting or contortions or anything like that. The only thing I can think of
would be either a Tarpon or a Dolphin (the fish not the mammal). I would be
surprised to find a Tarpon that far north but read that they are found all the
way up to the Carolinas and even to Mass on rare occasions. I would also be
surprised to find a dolphin so near shore, but read that they occasionally do
come in kind of near. Would either fish jump if not hooked? Any other
suggestions?

Thank you kindly
Dave