Scanning the Lunar Module would be slightly more difficult.
The lower half of Apollo's 11 LM (the "descent stage") was left on the surface of the moon at the landing site, and the upper half (aka "ascent stage", which rendezvoused with the Command Module) was jettisoned and left to crash back on the surface of the moon. The exact current location of the ascent stage, however, is officially "unknown".
Note that the lunar module currently on display in the Smithsonian (LM-2, an Earth-bound test article) was in fact reconstructed to match the Eagle (LM-5, used on Apollo 11) as closely as possible. It's not the original -- as you say, that would be difficult -- but I'd still be happy to see a scan of the LM sitting in their lobby.
The lower half of Apollo's 11 LM (the "descent stage") was left on the surface of the moon at the landing site, and the upper half (aka "ascent stage", which rendezvoused with the Command Module) was jettisoned and left to crash back on the surface of the moon. The exact current location of the ascent stage, however, is officially "unknown".
Source: http://nssdc.gsfc.nasa.gov/planetary/lunar/apolloloc.html