I finally thought to collect seed of Carlina acaulis yesterday, though too late, unfortunately, for the seedexes.
It's a stunning plant, with flowers that last intact all through the winter. Yanking the seeds out of the disc took quite a bit of effort - they're so firmly in place that the spent flowers are always pristinely intact when they're finally cut off in spring (which, I realize now, explains why I've never yet found a seedling, after growing a couple of plants for many years).
Anyway, let me know by PM if you are interested in seed, and if you have anything to trade.