I think I'm on to a non-starter here. I just checked the pitch, it's 1.08mm.
Found some scrap headers with small enough female connectors attached to wries, took a few of those out. They'll fit on the pins ok, but won't fit side by side, they have to be staggered up and down on alternate pins.
So I'll try fitting those with heatshrink sleeves and see how they go.
This is for connecting dmm and experimental bits to a chip, so I want connections I can remove!