Ok I think I've hit the limit of what I can do with input capacitance.
Going from nothing, 0201 on output, 0201 on input, ground strap on top, second 0201 on top, 0402 on bottom:
VOUT p-p ripple 596, 380, 286, 333, 328, 319 mV.
VIN p-p ripple 62.6. 66.4, 43.7, 42.6, 39.7, 34.9.
So let's see what happens if I bodge another cap on the output side next.
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