Well. The mention of no eyebrow map is interesting. I wonder if the makeup could be a problem. However, I have seen this w/ other objects.Here is what seems to work, but I will delve further...since it is kinda a big deal. Settings may not be related because I didn't test that. I got no sky and I took brightness on alpha down to say 40-45%. One thing I have seen that doesn't help it the shader preview often shows totally diff results than render. In preview eyebrows look ok. I didn't try to turn off no shadow for brow either.(this is the v3 w/ fairy texture so not so great...have had other anomalies w/ this. I think the texture really doesn't fit this version of v3)

No need to think outside the box....
    Just make it invisible.