The university where I work has been closely involved with the investigation of the wreck that's thought to be the Queen Anne's Revenge, off Beaufort Inlet. I haven't taken part in the project or even followed it particularly closely, but I do know a little about it.
The first point that needs to be emphasized is that the wreck has not been positively identified. It may be the Queen Anne's Revenge; it's even reasonable to assert that it likely is. But none of the artifacts found so far provides firm, positive identification. A couple of my colleagues got into some hot water a few months back for emphasizing that point in print. (The state is relying on private donations to keep the archaeological work going, and it's a big tourist attraction. In this neck of the woods, the name "Blackbeard" is a guaranteed money raiser. If this ship turned out to be something else, public support undoubtedly would fall off dramatically.)
So far the divers have brought up some fascinating stuff, most notably some guns. The process of conserving all those artifacts and getting them ready for public exhibition will take months or, in some cases, years. Unfortunately there's no guarantee that it will ever be possible to identify the ship with certainty.
Here's the link to the project's web page: http://www.ah.dcr.state.nc.us/qar/
To my knowledge, nobody has yet undertaken to draw a set of detailed plans of the ship the archaeologists are studying. That will be a major project. Not a lot of the hull is left, and taking measurements of it isn't easy. I suspect the state will eventually publish a massive site report, including drawings, but that's a long way in the future. And I'm not at all sure that there's enough down there to give us more than a sketchy impression of what the ship looked like.
A couple of folks have made nice scratchbuilt models based on the limited evidence available so far. And the Raleigh News and Observer has commissioned a full-color poster featuring a cutaway drawing of the ship. It's a nice, intelligently-rendered picture - though I suspect some doubts about it will emerge as more work is done on the site. (I tried to find it on the newspaper's website; no luck.)
The word "pirate" seems to fascinate people for some reason, and it's driven ship model kit manufacturers to some pretty extravagant - and deceptive - marketing stunts. The Lindberg "Jolly Roger" is a reissue of a pretty nice kit from the 1960s that represented the French frigate La Flore, and the "Captain Kidd Pirate Ship" is a reissue of the German warship Wappen von Hamburg. Both were excellent kits for their time, and hold up pretty well by today's standards - but neither of them has anything whatsoever to do with piracy. I think I may have seen a Lindberg box with the name "Blackbeard" on it; as I recall, the picture pretty clearly was of the seventeenth-century English warship Sovereign of the Seas. If so, it probably was one of the many Lindberg re-boxing of old Pyro kits. Calling the Sovereign of the Seas a "pirate ship" is even more ridiculous.
The modeler wanting to build a realistic replica of a genuine, honest-to-goodness pirate ship is not well served by the plastic (or wood) kit industry. Part of that has to do with the fact that, in reality, most vessels operated by pirates weren't particularly interesting or romantic in appearance. Maybe - maybe - the public interest in the Queen Anne's Revenge will result in a kit some day. But at this point I'm not holding my breath waiting for it.