What value cap to bypass power supply cap?

No, you most likely don't have to worry about ripple.

Film caps of equivalent capacitance have much higher self resonance point and much lower ESR than electrolytics.

Capacitor that has better frequency response offers low impedance at higher frequencies (higher self resonance point) becoming more effective filter for high frequency interference/noise. Also it can respond faster to rapid current demand having lower inductance (inductance resists current change).

Mundorf M-Cap Supreme is high quality metalized polypropylene cap. It might work fine but you can also try metal film polypropylene or Teflon. Metal foil offers lower connection resistance. Try to keep short connections since even straight wire has inductance.

You mentioned 760uF therefore it has to be low power electronics (preamp or DAC?). We might be dealing with regulated power supply greatly reducing ripple. If you have voltage regulators and plan to improve any caps behind them check first what type of regulator it is because some of them don't like low ESR load (oscillate). Give me more info.

They're not for preamp or DAC. They're for monoblock amps. However, there are a total of 12 of these. Still not a lot by electrolytic standards, but they are huge cans, each about 7 x 5 inches and weighing around 4 to 5 lbs. According to the design of the amp, huge values found in electrolytics are not needed.

The Mundorfs Supreme, although a metalized film cap, is noninductive by design (noninductive winding geometry). Shouldn't that result in very good frequency response?

Teflons are too expensive. I would need 12 of them for the power supply caps. The amp side would need only one 0.1 microF Teflon cap (I have a couple of V-Caps from another project left over). But the metal foil polypropylene caps may be viable solution for the power supply caps.

I'm not sure why you need to bypass each capacitor. Why not use just one 1uF cap at the PC board entry. M-Cap like that should be most likely around $20.

Dracule1 .. my post was a attempt at painting a picture with broad stokes ... and suggesting the number you were seeking was 1/100th or 1% as Kijanki stated

My post got you in the ball park but seated you in the third deck .. Kijanki's guidance has give you field level box seats 3 rows behind first base

6 years ago I upgraded the PS caps in my D500 Phase Linear .. I bumped the main caps from the factory stock 35k to 140K of Nichicon’s and bypassed with 1% Rels .. I also had a dual diode bridge installed and eliminated the stock factory attenuators by wiring the inputs directly to the outputs eliminate the old carbon pots and about 4 feet of wiring

The difference was far from night and day ... much more like dusk to dawn ... but the improvement was positive with no down sides .. tightening up the base and opening up the treble very nicely

I think the Rel’s helped extend and open up the treble and the Nichicon’s gave some boost to the bass

I have found greater gains in working with room acoustics .. power deliver and vibration control .. but have no complaints about the amp upgrade to this day .. that amp isn’t going anywhere nor are the double run of Ridge Street PIII speaker cables driving my NHT3.3’s

Dracule1 .. I’m sure you’ll agree with me that they should put Kijanki and Almarg’s picture on money for all their contributions and time donated to this forum

ATB Dave
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Thank you Dave for good word but I'm only trying a little to repay all great thing I learn on this forum. Almarg is is the one to be praised for sharing his knowledge and constantly helping people. He is pretty much a guru for all technical things.