The Smithsonian has two models of the Constitution. (Actually maybe more than two; two that I'm familiar with.) One is a big, 1/48-scale one that was built by (if I remember right) a commercial firm called the Arthur Henning Company back in the late fifties. This is the one for which the Smithsonian commissioned the plans by George Campbell, on which the Revell kit is also based.
The other Smithsonian Constitution is an incredible 1/192-scale one by the great modern modeler Donald McNarry. I saw this one on my first visit to the Smithsonian, back in about 1966, when I was in high school. It's one of the finest, most detailed models I've ever seen; it depicts the ship in her as-built configuration. Some years after that, the museum took it off exhibit. When I got a job as a curator at the Mariners' Museum, in 1980, I made arrangements to borrow the McNarry model. (Driving down from DC to Newport News with that model in the back of a station wagon was a neurotic experience.) It was still on exhibition at the MM when I left in 1983. I believe the MM has given it back to the Smithsonian since then.
I last went to the Smithsonian's Museum of American History three years ago, when the new American military history gallery had just opened. My opinion of that exhibition is, in general, extremely high. But I was somewhat dismayed to note that scarcely any ship models were in it. Neither of the Constitutions was anywhere to be seen - nor were various other important, beautiful models that used to be exhibited prominently. Tastes in museum exhibition design change over time; I guess ship models are out of favor at the moment.
The Museum of American History is currently closed for a major renovation. (I believe it's scheduled to reopen in summer '08.) One of the big projects in progress now is a major refurbishing of the "Hall of Maritime Enterprise," which deals with non-naval maritime history. In its old form it contained lots of ship models. I'm holding my breath waiting to see how many of them have vanished from public view when the new gallery opens.
The Naval Academy Museum at Annapolis has another 1/192 Constitution by Donald McNarry - almost identical to the Smithsonian one. (The man is simply amazing.) I'm not sure whether it's currently on exhibit; I do know that the staff of that museum does appreciate ship models. The relatively new gallery in the basement of the building, in which the famous Rogers Collection of "Admiralty models" is displayed, is one of the best ship model exhibition facilities in the country - if not the world.
The Naval Academy Museum has a model that also probably belongs on that "top ten" list of most important American ship models: the model of the brig Fair American, from the American Revolution. That one has (with the Naval Academy Museum's encouragement) been the subject of several excellent articles in the Nautical Research Journal, which examined its provenance, the existing documentation about it, and just about every other aspect of it. The museum also cooperated with Model Shipways, which offers a wood kit based on the model.
I have no idea whether anybody's ever approached the Peabody-Essex Museum about moving the "Hull model." I strongly suspect the museum would be unwilling to part with it. My wife and I were up at Salem last summer, and I had a chance to take a look at how the model is currently being treated. I did a post about it here in the Forum when I got back; here's the link:
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I don't accuse the Peabody-Essex Museum of mistreating the model. But I do think it needs to be the subject of a more serious research and publication project than, to my knowledge, has been devoted to it so far. I've given some thought to doing an article about it, but in all honesty I don't think I could afford it. Even if the museum agreed to the proposal, to do it right would entail taking up residence in Salem for quite a while, and that's just beyond my - and, I'm pretty certain, the museum's - means for the time being.