Going to look around at latest films for something suitable.
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There are some things I learned while looking at those that may be useful here. The film caps with these capacitances come in some different dielectric materials and they have clear differences between them in thermal-electric properties which sets them apart from each other. Polypropylene caps are the best and the rest have higher temperature dissipation which causes both higher signal loss and also possible further degradation from internal overheating. Polypropylene caps are also slightly larger than polyethylene or polyester caps.
Here's a list of some current caps in the ~100uf mark, most of which are currently availabe. Sorted by dimensions from largest to smallest.

The polypropylene caps should have no problems with heat or varying levels of AC signal.
For some of the caps the manufacturers have specified limits as to how much AC voltage they can handle without overheating (which is defined as higher than 10C temperature rise from internal heating). As an example, here's a clip from the TDK B3252X series data sheet:

Here the 63V version is specced as being able to handle AC signals up to 10kHz - with declining voltage - but the 100V version (which I didn't find in stock anywhere) looks like it can do two volts at 20kHz.
And here is the similar graph(s) from the Vishay MKT1820 data sheet:

The graph for the 63V version lacks the 100uf capacitance but it looks like it would slot in somewhere slightly below two volts at 20kHz. The graph for the 100V version is not much better and neither is the 250V version.
The film caps with appropriate specifications here are designed for DC linkage and not high frequency AC signal passthrough as that will apparently cause more heat to be dissipated by the capacitor. The polyproplene caps however are mostly immune to this as their dissipation factor (and therefore internal heating) is an order of magnitude lower than the polyethylene or polyester caps (<0,1% vs <1% vs <1,5%). The lower dissipation factor by itself also will cause them to have better sound in audio use. Conversely, the non-polypropylene caps' sound may be actually be worse than some electrolytics at least in some respects/aspects (They might result for example in a sound that is smooth but otherwise lacking).
So from the available options the 100uf or 90uf 400V DCL Wima would seem the option of choice taking into account dimensions and thermal-electric properties. The 90uf is not stocked anywhere though and the 100uf is slightly larger. By the Wimas' spec sheet, the 400V 100uf has the exact same dimensions as the 800V 40uf version which has been observed to fit inside the standard case a few pages back here . So that could be doable.
In any case, the main point here is that polypropylene caps should be far better than the other film options in audio use so they should be used here if at all possible despite their slightly larger size.
(After having ordered the 560uf Vishay film caps which also were from the MKT1820 series, I noticed that the graph in the data sheet shows they should be able to do about 0.2V at 20kHz without overheating. While having them in the amp I did notice there was at least slightly more residual heat in them than the other components an hour after switching the amp off. I'm not sure if the amount and duration of heat from my use would be enough to make a difference in performance as the data sheet also defines a "maximum operating temperature for limited time" as 200 hours at 150C at 30% of rated DC voltage. However, I did also notice that the Wimas were clearly better sounding right from the start.)
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