And this is now the third post in a row from me, but I've had another thought. Those ships have a bunch of extra mass capability that they can't use because they don't have the volume, right? Well, armor doesn't take up much volume. And I know what you're going to say - and I agree. In the cold war, armor is useless. But maybe not post-cold war.
Think about it, armor doesn't make it harder to mission kill a ship, yes, but it does make it harder to sink a ship. During the cold war, that didn't matter, why bother trying to make a mission killed ship survivable if there wouldn't be any friendly ports left to sail to in a nuclear apocalypse anyway? But post-cold war, the USN is going to be facing enemies that don't work like that. Outside of China, most of the enemies that the USN would be facing use much smaller AShMs, which can be effectively armored against. Not to maintain improvised explosives and such - look at the USS Cole. That was 320 to 400 kg of explosives places just outside the hull - I'd have to do the math of course, but I'm pretty sure that such an explosion would not have been as dangerous if the ship was armored.
Also, keep in mind I'm not proposing adding huge amounts of armor here, 2 to 4 inches should be fine. That means weight shouldn't be an issue, especially considering the extra mass these ships can supposedly take. The bigger problem would be cost, and the increased strain on the engines. The latter I can calculate with springsharp, the former I have no idea where to look for. Any suggestions?
EDIT: Come to think of it, even if this proves workable it's possible that it would simply be too much of a change in thinking for the USN for them to actually adopt just from butterflies. Oh well, it still interesting to think about.