The Tiger today is currently sitting disassembled in a warehouse in Fort Benning GA. a buddy of mine who lives near by took a few pics of it. All of the US museum tanks are being shipped there for storage until a large indoor building is built, many of the vehicles are awaiting restoration.
Lots of the tanks from Ft. Knox, and APG are there including the T28, the APG Jagdtiger, and ironically the King tiger that the Tiger I was parked next to in the 70's
As for the Tiger's background it was on outdoor display (like most of the APG tanks) for many decades, In the late 1990's it was sent back to germany to Munster and was restored in Germany and placed on display. Because it was a cutaway they restored both the exterior and the interior. They left it cut open, and was on indoor display for many years. Sometime in the mid to late 2000's it was shipped back to GA and has been in the Indiana Jones crate warehouse ever since.
There are two older videos on youtube (can't find them at the moment) where they are talking about the tiger tank and the have a crew sitting in the tank at their locations. this was filmed sometime in the early 2000's and the tank was still in Munster. There is also a air force news segment (again can't find it right now) when the tank was returned to the US, in it they are talking about the tiger, but are showing stock images of M46 pattons with "Tiger Faced" paint.