One would think an overwhelming majority of victims in this situation seek help and support from their family and head back to the country of origin.
With only 3-4 months in the US, most of them would feel like it was a long horrible vacation VS planning long term immigration route. Of course, the person may have legitimate marital issue and abuse, as well as desire now to stay in the US. But USCIS will be no less sceptical and could assume it was all planned before entering the US.
I cannot advise whether to go VAWA route or not, just a warning it may be a challenging one.