Another, make-like-it’s-TOS approach could be to follow the rule from the writer’s guide: compose a four-digit number so that .5 stands for noon, and an obvious way to do this is to use the last four digits and a decimal of the Modified Julian Date, so that as I type this it would be “stardate” 9434.8.
Or you could pretend it’s TNG and set the first digit to 1 (“for the 21st century”), and the second to… what “season” should it be? Well, let’s say 3 because we’re waiting for the 4th of DSC, and since the final three digits before the separator can increase from 000 to 999, but still count 24-hour days, we’ll use the MJD again to come up with “stardate” 13434.8.
Or you could pretend it’s TNG and set the first digit to 1 (“for the 21st century”), and the second to… what “season” should it be? Well, let’s say 3 because we’re waiting for the 4th of DSC, and since the final three digits before the separator can increase from 000 to 999, but still count 24-hour days, we’ll use the MJD again to come up with “stardate” 13434.8.