Some thoughts:
I don't care for Bunker Hill at all. I always thought that was kind of a dumb sounding name for a ship, and in any case, it's a horrible historical misnomer. The battle took place mainly on Breed's Hill, and the monument is on Breed's hill. If you want to go with a revolutionary war battle name and want to avoid the famous "big three" (Lexington, Saratoga, and Yorktown), why not go with the King's Mountain or the Ticonderoga (which would also be naming it after a current class of warships), both of which flow a lot better to my ear?
I like Constitution because of the historical significance, and because it's one of the two probably most famous warships of all time (the other being the Victory, which has already been used in WC). Olympus sounds majestic and relates to the Vesuvius/St. Helens line, which this ship kind of resembles. And Artemis is just a nice sounding name, although it seems that it would be a more suitable name for a fast, stealthy, light strike cruiser, not a massive Carrier/Dreadnaught.
None of the other names really jump out at me, and I would avoid Alliance at all costs. The original Amercian warship Alliance was a frigate given to the American revolutionaries by the French. It was crewed by an American crew but captained by a French admiral who hated John Paul Jones, and in the famous battle between the Bonhomme Richard and the Serapis, the Alliance actually turned on Jones and fired on both ships, which was a large part of the reason why the Richard ended up sinking. Do you really want to name your ship after a ship famous for being traitorous?
Here's some other ideas...when I first saw the ship, the first thought I had was Mjolnir, because it kind of resembles a hammer of the Gods. But people have indicated that there already is a TCS Mjolnir? Where/when? It's not in any of the mainstream games... Norse mythology has a wealth of great names...someone else in this thread suggested Valhalla, which would be a great name. I also could see Odin as a good option.
My best idea, though, sticking with the idea of naming it after famous moments of historical significance, would be to name her the Overlord. Not only does that imply a mighty ship, but it also is named after the most successful large scale naval invasion ever (the landing at Normandy), and one of the most significant turning points in WWII.