Slaw recipes don't have to involve cabbage. And slaw also doesn't have to involve sugar. An obvious substitution to make slaw lower in carbohydrates is to swap the sugar in the recipe for monk fruit. The less-obvious substitution for slaw are other vegetables, but plenty of them work well together.
This recipe features broccoli—it works really well as the base because you have the medium chunks but also the filler of the tiny broccoli buds...or are those broccoli hairs? (We actually have no idea what those are called...but we love 'em!)