[ace_of_spades]

Not an expert by any means but I would imagine you simply prefix your time with a specific „large-sclae time zone“ that you are moving in, e.g., it could be earth, another planet or your spacecraft. Wouldn‘t solve it completly but seems to be a pragmatic solution that could work alright for most cases.

However, a total ordering of events seems plausible only from the relative perspective of an observer and we would need to figure out, how to think about how things like transfer duration affect each oberservers understanding of ordering.