Ah. Size matters.
And I found baby's first stronghold, in a jungle. Awesomely enough, same island as the spawn. It's not even that big of an island. Rather straight-forward. Going in a cave, I kept hearing the same banging sounds zombies make as they do in villages. No villages on this island, so I'm tackling this alone. The seed is: Billage in the Village
No extra digging necessary to get there.
Ah, screw it. My body's not Reggie for this. At first sight of redstone, I'm building my airship, marking this in my coordinate chart, and will fight the Enderdragon for the first time later.