I have a feeling that we're on an island rather than a peninsula.QUOTE]
I'd prefer to assume we're on a peninsula and find out we've been ineficient with an island start than to assume we're on an island and not find important resources and meet neighbors who want to invade our peninsula.
Like others have said, when we build our 2nd or 3rd warrior in preparation for our settler he can go ahead and look around more closely at these tiles while the settler is building. Because this region is close to our capital he'll be able to accomplish this, and then get back to fogbusting/escort duty before turns are wasted.