Not necessarily a "standards sourced" strategy but what I've used for various finishing aspects is a color-coded drawing.
Areas of interest, whether it be for a surface roughness, texture, paint masking, oil-free, wax-covered, etc, will be shown in a shaded view on a drawing sheet, with a note indicating the requirement, and which areas must meet the requirement. Sometimes it's the interior of a hollow piece, shown in section-view, and a brief explanatory note.
In general I try to use as few words as possible, using the colorful views to describe it. I find that some suppliers have better success with pictures than words (no comment...)
I hate using a color-dependent medium, because if someone prints it on a B&W printer, it loses effect. But I haven't had problems with that yet. To mitigate the issue, though, I try to use highly contrasting colors. Example of good - shaded dark red on an otherwise white/light-grey shaded part
Example of bad - shaded yellow on an otherwise white/light-grey shaded part.
Yellow will print almost white on most B&W printers, and dark red will print very, very darkly. Some blues similarly, IME.
We segregate those as "vendor drawings" but otherwise control them all the same with typical title block and revision. A "process drawing" might be a more apt phrase. IIRC there is an ASME standard covering such things, if it applies to you (we don't bother with that one)