JD,
I'm sure you have discovered that you can buy a SAMS manual. It wouldn't surprise me if someone here has a collection of those and could send you a copy. But you probably don't need one real bad. A cap that big left a big space, and it shouldn't be hard to see where it came from once you get the entire board exposed, which you'll need to do anyways to solder a new one in.
-Why did it fall out? If from corrosion, you'll probably have to repair the circuit board also. It looks really clean inside though.
-Big electrolytic capacitors are usually used as power supply filters, or sometimes to couple the output of the amplifier to the speaker. Either way, the capacitance and voltage are not critical and can both be larger, the only problem is to find something that will physically fit.
-If you can't find one locally, try Mouser or Digikey online.
-Of course, there could be something else wrong once the cap is replaced, but it's the obvious place to start. Keep us posted.
BTW, thanks for the clear pictures.
-Tom