I went back into the C26 over the weekend.
I don't yet have the parts to rebuild and upgrade the power supply, so I did a little work on the left and right channel boards. Mine is an older model so it actually has two ceramic disc capacitors as part of the phono stage. I swapped these, and the four polyester film capacitors from the tone circuit, for tight-tolerance MPP capacitors.
Here is a marked version of the circuit board silk screen:
Here is a 'before' photo with the relevant capacitors marked:

While I was at it, I also increased the value of the filter capacitor on the power board (marked in blue above) and the one attached to the big can capacitor from 100 µF to 220 µF.
Here is the 'after' shot:
Unsurprisingly, this had no effect on the noise in the phono channel, and before you start, yes I know that the effect of swapping out the polyester film caps is likely to be marginal at best. I am also a sometime defender of ceramic caps but, in blind A/B tests, I will say that it is now easier to hear the difference between the C26 and the Pro-Ject Phono Box, especially at high-frequencies. For example, when listening to Astrud Gilberto's voice in, The Shadow of Your Smile, I cannot hear a difference between the two phono stages. In fact, when my wife is manning the Schiit, I cannot even tell when she flips the switch. When the strings take over, and shoot up into the higher registers however, I can definitely hear a difference, with the C26 usually sounding more 'airy'.