I stash away parts for projects like that from time to time. Often not very well researched and just look suitable, pending me looking more carefully into the project.
With that in minds, I've got a few IV-27M tubes, which interest me because they have signal wires at both ends, and I'm imagining a steampunk style mount that would take advantage of it.
There are various ways I might drive these, but I have also picked up some PT6311 chips which have a flexible grid/segment driver system and an spi interface as well as some other flexible i/o. They'd still need a timekeeping chip of some sort.
Getting the time from NTP seems attractive at the moment but there are plenty of alternatives. There's currently high availability of some very good ovened CTI OSC5A2B02 crystal oscillators for only $2-3 that seem to be good for about 4ms per year.