You could veer off course a bit and go to the
Gettysburg National Military Park in Pennsylvania. The course I suggested would lead you through Richmond Virginia which was the capital of the Confederacy. Not too far from Richmond is
Appomattox Courthouse, where the Civil War ended when Lee surrendered to Grant.
As for motor museums (we call them car museums

), I'm sure you are aware that the
National Corvette Museum/factory in Bowling Green Kentucky has tours. That is quite a way off the course but you could get there from Richmond by taking I-64 west to Lexington Kentucky to the Blue Grass Parkway. Take the BG west to Elizabethtown then take I-65 south to Bowling Green. After leaving Bowling Green, you can take I-65 south to Nashville Tennessee then pick up I-24 east to Chattanooga Tennessee. At Chattanooga you take I-75 south to Macon Georgia then get on Georgia 300 south (exit 99) to Albany.
If you were to take this route you would pass very near to the
Chickamauga and Chattanooga National Military Park. It is one of the largest Civil War parks in existance and has lots of monuments.
You would also pass through my town on this route...in fact, about three miles from my house.
When I mentioned Perth to Adelaide, I was thinking only about mileage but the time looks about the same too. Straight-through from Albany NY to Albany GA via Washington DC and Bowling Green KY would be around 30 hours (~1700 miles/2800km)!
