Astronomers and aerospace engineers have to deal with BC dates and a continuous timeline, so that’s the context words you want to put into your duck.com/you.com/neeva/searX web search.
Astropy’s Time class will work for you (and even more precisely and completely than you hoped). pip install astropy and you’re on your way.
If you roll your own, you should review some of the formulas in Vallado’s chapter on dates. There are lots of obscure fudge factors required to convert dates from Julian to Gregorian etc.