Sean, I'm currently using a large capacity lead acid automotive battery with 650 cold cranking amps, located about 24 inches from my amplifier. I have the terminals directly connected to the power input barrier strip on the amp, with 12ga OFC copper stranded wire.
I have not tried any capacitors on the power connections as of yet, but the idea has crossed my mind. I was thinking that since my amp only draws 3.1 amps @ 12vdc at rated power, I figured that the 650 cold cranking amp capacity of the battery could handle that. From my listening observations, this amp really has some balls in the bottom end and dynamics, even though that may sound comical with only a 2 watt SET 45 amp. But it really is true. This amp has alot of punch, and it makes those Lowthers stand right up and get with it.
Another thing that I have done, is to use a separate battery for each of my components, so that there is no modulation of the power supply of one component by the draws of the other. This seems to make a difference. Individual power supplies take the idea of "dedicated AC lines" further into the isolation of each components power supply totally from the others. I like the effect of it. It's clean.
I'm still working on doing whatever I can think of to ensure the cleanest, unencumbered power to my components as I can possibly do. I think that the flat DC, with no intermodulation between components, full isolation, and high current availability has improved my sound.