I've been making some screw recently out of 316 steel but my stalling point has been polishing the screw heads. After I cut the slot I have been filing them flat then rubbing them in diamond paste.
I apply the paste to an aluminum sheet and start with 45 micron diamond paste and rub the screw heads in it. Clean them then repeat with 8 micron and 0.25 diamond paste. However the finish is not good. I'm aware if you buy sets of diamond paste there are 7 grades to go through so it might
For those interested- some pics of a tripod tool and its use. There are numerous versions of these, best aren't too big, and can take a square head pin vise to hold screws. I have a bunch of little Schaublin P4.5 collets so made the holder in the tool.
Start on 12 micron paper, initial adjustment of the feet by eye, fine adjustment after a stroke on the paper, until there's full contact. Screw will be matte grained (but a little shiny) from the paper. Clean well, then to the tin with