Is the goal to avoid using post?

Then I would probably recommend adding dynamic hair - starting from scratch or modifying existing styles either sold or the ones which come packaged with Carrara itself. I am not sold on the way trans-mappped hair looks in extreme closeups. Some styles (e.g. this one: https://www.renderosity.com/mod/bcs/lua-updo/98898/ ) can serve as base and good background/shaping prop for adding dynamic hairs to the hair model object. This way you can get away with adding very few dynamic hairs and being able to significantly up the segment count and rendering options without killing your resources.

But in most cases I'd just fix things in post...