Thanks to Don, I've got an upgrade in the works for my project to make the "daughtercard" a little smarter / easier.
First pass here, I'm trying to see if I can get away with the ATTiny10 on the board, because that SOT-23-6 package is nice and tiny. However, this means I technically only have three easily-available I/O pins (plus /RESET, but if I can avoid it and the High-Voltage Programming mode using it would entail, all the better).
It *seems* that I can use a single pin to facilitate both:
(a) clocking a 74xx165 (parallel -> serial shift register) AND (b) Data Out to WS2812 LED controllers
with nothing more than a low-pass filter on the '165 CLK pin, and potentially a high-pass filter on the first WS2812 -- worst case, I'll plan for the pad and stick a 0-ohm link in there instead, or, well, what is the "correct" way to do layouts with potentially optional pads?.
But, this almost seems too easy (or rather, that I'm being "too clever"), and there's something I haven't accounted for on this particular pin.