Just because audio doesn't go "through" them doesn't mean they don't affect the sound. If you think of an amplifier as a modulated power supply, with the audio signal doing the modulating, then you can't help but see that the power supply is extremely important, if not the most important part of the device. Any non-linearities or irregularities in the power supply will be audible.
Ideally you should get rid of the electrolytics but 7,800 uF of film caps would be huge. You could redesign the power supply to have a higher output voltage and then add some fast regulators after that and get by with smaller amounts of capacitance.
For bypassing one camp subscribes to the idea that a power supply bypass should be 1/100 of the main cap so with 7,800 you might try 2 caps; one around 78 and another around .78
The 78 could be one of the oil/film motor caps you mention. I've had great results with these http://www.alliedelec.com/catalog/pf.asp?FN=1433.pdf but that would be too big to fit in your case.
I think for optimum performance you are going to have to pull the supply out to a separate box or leave the lid off with a bunch of stuff sticking out the top.
Ideally you should get rid of the electrolytics but 7,800 uF of film caps would be huge. You could redesign the power supply to have a higher output voltage and then add some fast regulators after that and get by with smaller amounts of capacitance.
For bypassing one camp subscribes to the idea that a power supply bypass should be 1/100 of the main cap so with 7,800 you might try 2 caps; one around 78 and another around .78
The 78 could be one of the oil/film motor caps you mention. I've had great results with these http://www.alliedelec.com/catalog/pf.asp?FN=1433.pdf but that would be too big to fit in your case.
I think for optimum performance you are going to have to pull the supply out to a separate box or leave the lid off with a bunch of stuff sticking out the top.