I guess the ‘obvious’ application is to connect signal relay MUX cards to a hypothetical DMM card.
For that you actually wouldn’t need many wires (e.g. a ‘deluxe’ implementation of ground, guard+, force+, guard+, sense+, guard+, guard-, force-, guard-, ground) so 8-10 pins would probably work. Of course, if you might want to move some current around, you’d need paralleling.
I think Kleinsten’s right about using standard 2.54mm pitch and leaving room for different jumper options. If you go 15-way could you reuse parts from the main board to auxiliary board IDC?
On ribbon cable vs rigid PCB: cables have their issues but are tolerant of misalignment. A previous design I did had a PCB base board on the bottom and a PCB bridge board on the top and it got quite hard to get all of my cards lined up and plugged in without one leaving over.
Of course, it might be better to revisit the backplane for v2