If picking up a Constitution kit doesn't work out, USS United States is a great choice. She has a very interesting history and had a long and successful service life.
Before being officially named, she was called "Frigate A", the first of the "Original Six Frigates" authorized by the Naval Act of 1794, and is considered the first ship of the newly formed United States Navy.
She was very well armed. Unlike her more famous sistership Constitution and younger sistership USS President, which were fit with 32-pounder carronades, United States was fit with whopping 42-pounders.
She is best known for her capture of HMS Macedonian, which went on to have a terrific service record with the US Navy as USS Macedonian. Less well known, Herman Melville, author of Moby *** [the white whale story - FineScale bots edit this name], served aboard USS United States as an ordinary seaman in 1943 and later published a book called White-Jacket largely based on his experiences aboard the ship.
Some have said USS United States' sailing qualities were badly affected by modifications and she became a poor sailer. But this may be false. In 1843, while at Callao in Peru, United States challenged USS Constellation, with a reputation as being a very fast ship, and the British ship HMS Vindictive to a race out of the harbor.
Vindictive, originally built as a Vengeur-class 74-gun ship-of-the-line, was reduced one deck in height (called "razeed") in the late 1820s-early 1830s to become a very fast and agile 50-gun 4th-rate, with a nearly identically sized hull to United States (just 1 foot longer than United States).*
United States handily defeated both Constellation and Vindictive.
United States survived until 1865. In 1861 at the beginning of the Civil War, she was seized by Confederate troops when Union forces abandoned the Norfolk Navy Yard. She was recommissioned as CSS United States, though called "CSS Confederate States" by some. She was ordered sunk in Virginia's Elizabeth River as a blockship. Raised by Union forces in 1864, she was eventually broken up at Norfolk Navy Yard.
* A drawing of Vindictive as a 50-gun fourth-rate apears on Wikipedia (click here).