I have managed to accrue several sets of H&I dies for lube-sizing boolits to different diameters. When not in the sizer they are difficult to identify. If I remember right Lyman once stamped the diameter in the H die but no more it seems. So, in searching for a solution I discovered empty pill bottles.
Found them on EBay.
https://www.ebay.com/itm/224167914714
They ase available in different sizes and configurations. I figure to write the die diameter on the outside so I can keep them all organized. They are on the way. When I try them out I will report back.
Jim