I can understand your need for privacy, even though I don’t go to similar lengths myself. That being said, I always prefer the way forward instead of shutting new technology out. I don’t have the answer to how that would translate to your situation specifically, but a privacy minded android or linux os with a prepaid sim card could go a long way.
Decimal time was introduced in Revolutionary France, just like the metric system and a decimal calendar. They made it non-mandatory after 17 months, partly because of the enormous costs to replace all clocks. The decimal calendar survived longer and was abolished by Napoleon as part of his reconciliation strategy with the Catholic church.
Decimal time is still used by the way. Astronomers use fractional days because it’s easier to do calculations with. And that very same ease of use is why Microsoft Excel uses fractional dates to calculate dates, as it requires less calculations.
My old company used Greek and Roman gods and heroes. Hermes01 was the mail server, for example (because Hermes was the messenger of the gods). I don’t remember all of them, but we had demeter (esx clusters), zeus (file servers iirc), Ares (backup servers), and other server names like that.