those things are so hard to tell apart. The only way to positively ID a greater from a lesser or a banded rudderfish is counting the rays and gill rakers according to a biologist friend...regardless we need to find you the big ones b/c nothing pulls quite like a big AJ!
How deep are you seeing those small jacks? Here I dont even look for them in less than 120' or so and really like water about 150+. We are lucky enough to have many oil rigs in that depth so finding the structure is easy(they are very structure oriented). In the keys we dove a wreck in that depth and the AJ would come up to about 30' below the surface. Do you have many wrecks or coral heads in that depth? Maybe a hump or mound?