Nice catch, captain! The fish in question looks very much like a southern or Caribbean red snapper, Lutjanus purpureus, but based largely on the location of capture, the fish's dentition, the oblique scale rows above the lateral line, and the small amount of yellow pigmentation around the mouth and on the fins, I believe it is a dog snapper, L. jocu, as you suggested. The pale patch below the eye is a characteristic of dog snapper, but pale suborbital areas sometimes occur in L. purpureus as well. I can't see the anal fin clearly, due to the way the fish is being held; it's partially collapsed, which might give it a pointed appearance. Dog snapper characteristically have a blue line or a series of blue dots below their eyes, and a couple of blue dots can be seen on your catch. Both L. jocu and L. purpureus have long pectoral fins, clearly visible in your photo.