I don't think there is such a thing.
I haven't looked at apartments, myself, in nearly two decades, but my daughter recently finished college and still has a touch of that idealistic view of the world and wants to move out on her own. In an attempt to help her face reality, my oldest sister has been sending her information on apartments.
I had thought $1,000/month would be the minimum for a safe area in Nashville, but my sister claims that $1,000 won't do it, and even some of the unsafe areas are in the $1,000/month range.
You might have better luck in the surrounding counties.