hmmmm.....i have read all your comments...i will offer another angle to you...
no huts, no trees, no land resources, on an isolated island. I decided my priority at first was to build up cities. 1, 2, 4, 8, 16. I figured i would be building into the 4th round which would take me awhile, so my choice of techpath is not desparate. I choose to follow to Monarchy, grab warrior code so i can get feudalism. From feud, i grab mapmaking, then writing, masonry, and mathematics to make 10 techs. From that point i can build dips, pikies, catapults and triremes. So, i build a trireme out of every city i have available, for about 10 triremes. For my 11th tech, i research chivalry. If things went well(that dang archer doesn't appear and kill off an early city) my second city(samarkand) built 2 settlers and proceeded to build LH. Karakorum(capital city) built either 4 or 5 settlers and then proceeded to build SunTzu's.
If building Sun Tzu's doesn't make sense at the moment, then building barracks in 4-5 cities will be required instead.
From those first 11 techs, plus the two wonders, i have my basic war machine. Each trireme is outfitted with a vet catapult and a vet knight. I find it more effective to take over other civs as opposed to building up to the other civs. Each trireme has run o' the water with LH so off in every direction go the triremes. When they find a target(usually defended by phalanxes) they take the city. The Japs were my first target. Remember, each city you take over gains the attributes of Sun Tzu's

. As is the snowball effect with trade caravans, the same snowball effect can occur with military units.
My 1000ad save shows Suntzu's and LH built, 19 cities, 9 triremes ready to be loaded, 1 1/2 wonders built(for when i get the appropriate tech) and many catapults on the way.
This game i am playing is presently in 1867, and i am in the process of assimilating the last two civs. Should be done by 1900. Nice map!!
A few notes of interest:
-this game admittedly isn't my first attempt, but in my first attempt, i ran a trireme up the edge of the map and made it to the land to the north
-long before i built LH, a Japanese trireme appeared on my island's coastline
-while rapidly taking over oppsing cities, i found that the ai could buils units abnormally fast, research tech abnormally fast and seems to have A LOT of gold to hand out (550 for my peaceful nature in one instance), not that i am complaining....
-silk caravan from my capital to german capital netted 480 gold!!!
tech path:alpha, code, cere, monarchy, warrior, feud, map, writ, masonry, math, chiv, lit, rep, curr, trade