Update -- something like a head pin for lampworked beads DOES exist now:
Bead Bars. The bead bars that we stock, are custom designed for lampworked beads made on a 3/32" mandrel (approx. 2.4mm).
If you click into the "details" for a product, it will normally list the other products that work with it.
For example,
TierraCast's bead bars are designed to also work with their bead caps, spacer beads, and bails, to create a nicely finished pendant in just seconds, showcasing your handmade focal bead.
There are also
changeable bead bars.