On research..
With Financial leader and highly cottable capitol, Pottery is fairly high on the list. Agri is needed for the corn, and rather sooner than later. Corn will allow Carthage to grow like weed. And with Agri you can go for AH, to reveal horses - needed for the UU.
But then again, even with very few forests to chop, the whip would be handy. And axes need copper too, so BW can't be forgotten either.
Maybe Agri -> BW -> Wheel -> Pottery -> AH, so you can get corn farmed ASAP, the worker can mine some hill before but gets onto cottaging soon enough. AH is delayed a bit this way, but cottaging early and often leads to more coin and thus more research.
This can of course change by what is revealed after settling. If you see elephants, then insert hunting somewhere - maybe between BW and Wheel.
As I can't time things at all (and have had my first worker snoozing quite a bit because of miscalculations), take the suggestion with a grain of salt and calculate the turns needed yourself
As the "settle in place" BFC is quite green, you won't really be food-limited here. Corn alone (even without irrigation - that will wait until CS and depends on if suitable path is available) is F+3, two sugar plantations (one for yourself, one for trading maybe) another +4, and cottaged sugar (boy will that be a sweet town in the future) yet another +1. You can work all the cottages and still hire loads of scientists.