That's a cool site, JacaByte; thanks for sharing. I got Civ III a year or two ago, when somebody on my floor was throwing away his old games. Reading the articles inspired me to pull out the CD for another run, and it's definitely improved my game.
This time around I went with the map generator's medium-sized 'continents' setting. It was just right: I was paired with one other civilization on the continent. By securing a 1-square land bridge, I expanded through the best land, and secured most of the resources. Centuries later, after I'd just created my own navy, a couple of other civilizations found my continent, but all that was left to build cities on was desert. Soon I conquered my neighbor, and the other cities ceded to me peacefully vis a vis my culture, giving me control of every square from sea to shining sea, which is just how I like it

.
So continents seems to suit my style of play well. I fully appreciate an island-hopping strategy, where you try to get ships sooner than anyone else in order to dominate a great number of islands. I used that a lot in Civ I. However, I think there's a clear downside in that to do anything
but acquire territory, you need to build a zillion harbors. That can take 80 turns when you don't have many land squares to work, and corruption is rampant because your cities are so far from your capital. In the mean time, your citizens are unhappy, and can't build good units, due to inaccess to resources.