[spaghetti]

TKK I assume that you're not actually interested in real blue water hunting, but in catching some fish bigger than the ordinary reef/inshore fish. Did I get it right?
Here some scattered thoughts:
1) First off, it's not necessarily true that big ones don't get close to the shore: some big pelagics like leerfish and amberjacks come close to the shore for hunting, even on a 5 meters bottom, especially when it's season (in my country it's between august and october, don't know about Lebanon). There'll come a day while you'll be stalking some bream, turn around a rock and find yourself face to face with the big head of a fantastic leerfish. Or some day you'll be performing a static aspetto on some barely decent bass, when suddenly you'll notice that a curious amberjacks will be wacthing you from a side....Just get ready to shoot it right, open the friction of your Omer Match 50 reel and kick as hell up to the surface!!!
2) Watch the bait, those schools of small fishes which are food for the bigger ones, but also medium size fish like bass and mullets, which are food for the pelagics. If the small bait is nervous and move around in a compact "ball" near the surface, some leerfish or AJ or bonito may be nearby on the prowl. If the bait are compact and nervous down to the bottom, there might be some big dentex or bluefish. If you see a school of mullets or breams run fast as hell, there is for sure some big predator running behind them (barracuda, bluefish or bigger).
3) Where to go? In choosing right spots for hunting big ones near the shore you have to consider variable and constant features.
a) variables: current, water temp, presence of bait et cetera
b) constants. The best spots to look for pelagics near the shore are exactly the ones that logics suggest. Pelagics are fish who live in open deep sea. If you want to find them inshore on shallows, you have to choose borderline places between deep and shallow, between inshore waters and open seas. This said: Choose promontories that protrude from the coastline out towards open sea, or reefs that suddenly fall down very deep, or the "cap" of pinnacle rocks rising from deep to shallow (or off shore shoales if you ever have access to a boat).
4) everything that Miles said!
Feel free to ask for more