It seems that Hannibal and Carthage didn't get much out of their unique properties.
In retrospect, I think settling the capital inland was the key problem.
Financial + Cothons cries out for a mega-powerful trade-hub capital with the ToA and the Great Lighthouse (although the latter could be built elsewhere without losing the benefit). Even on larger maps, only two or three cities will ever reap the serious trade profits (but they can be staggeringly huge), especially since GL + Cothon ensures that all of the juiciest routes are reserved for the ToA city.
This way you can have an early game capital that is both profitable (thanks to trade and coastal commerce) and productive (since you need not prioritise cottages, and so can work a couple of hammer heavy tiles and/or make more use of the whip). Throw in the Colossus and bureaucracy, and you can leave the AI in your wake with an awesome mid-game tech rate (at least on a larger map), and without sacrificing your military too much either.
(I've just used Hannibal to win my easiest ever Prince victory; I left the AI so far behind that I never had to trade for a tech after I nailed both Liberalism and Economics first; and it was only my 2nd attempt at Prince-level Warlords).
But, to pull it off, you need a coastal capital with both food and production. Although the site on the sugar wasn't ideal, I wonder if it might have given you an edge, especially as you could have used another city to make use of the remaining sugars. Since you ended up not cottaging the sugars, the coast could have given you a major commerce boost. And even if you hadn't grabbed both wonders, either one would have helped to make Carthage a serious tech-generator in the crucial early-mid game (the ToA is definitely the better one if you have the choice, unless you've got absolutely loads of coastal sites to settle and few AI cities to trade with).
Also, having underused Hannibal's economic advantages, I'm not sure you have made enough of his military ones either. Charismatic is just awesome if you get into wars early on; combat gets easier and cheaper (ie. less units get killed) as your troops fly through the promotions. And, although I've yet to make any great use of them myself, aelf's UU guide suggests that Numidians can be quite effective too.
Nevertheless, having read some of your previous efforts, I'd still be prepared to stake a few
on your managing to win the game from the present position.
I'd probably go for domination. Since I'm totally incompetent where the space race is concerned, maybe I'm not the best one to offer advice... but Cyrus and HC look worryingly advanced and have tons of well-developed cottages (would they really farm over their towns?), and I can't see how you're gonna catch up in time to beat them to the launch unless you can expand quickly and cheaply (in which case you might be better off just going all-out for a military victory).
A couple of other things:
By all means sign the pact with Japan for the time being, but be aware that Toku could backstab the rather pathetic Shaka, leaving you to face the Mongols alone. It's also possible that another civ will attack the Zulu. Signing a pact with Shaka might disuade them, but, equally, it might drag you into a war you really don't need. Whatever, I wouldn't rely on Toku in this case (or in any other, for that matter) and I can see no advantage to a defensive alliance with the weakest civ in the game.
I'm not sure that that Cothon in Leptis will do you any good in the immediate future (though I guess it'd be pointless to stop building it now). You don't seem to have much in the way of trade routes anyway, and the the city doesn't need the health right now. It might also be worth switching to Mercantilism; the free specialists may prove more useful than your meagre trade income.
(Just to clarify, the main advantage from Cothons isn't really that you can get an extra trade route in each coastal city, but rather that the most profitable routes can be concentrated in the cities that can make the best use of them, hence the immense value of the ToA to the Carthaginian trade strategy; to an extent the same applies to the extra routes from the GL. Cothons are probably a waste of hammers if built in weaker cities, unless you really need the health bonus).
Edit: Sorry, too late yet again.
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