I think that's a fine name: can't leave out the 20th century unless we leave Mikasa on the bench (at least historically) - and don't we want anyone to tackle Zvezda's Dreadnought?
As for the badge, the artist muse runs deeply on this forum. I hope, however, that we can think of something better than the Maine. I know it is a wargrave and brave men died. But a few years back on a naval list there was one of the periodic threads on the "worst warship in history." I made the argument (supported by only a few I admit) that the "worst warship" should always lead off with ships that blew up spontaneously at anchor. It's amazing, but there's a kind of cult around Mutsu in Japan - a BB that did almost nothing except blow up at anchor. Maine just picked an interested anchorage to blow-up in: but blow-up she did. How about a ship that fired a shell in anger even if it didn't hit anything?
Or maybe a Mikasa/Olympia montage: coal burners that made history without blowing up at anchor: