I lived in that area when I went to Baylor. In most apartments, a thrown pencil could penetrate the walls.
In your situation, I'd recommend a good plated #4 turkey load for your first two shots, followed by the largest buckshot load you can find. At close range, the turkey load will act like a Glaser slug, moderate penetration & devastating wounds with shock. The buck rounds will be a good follow-up if the BG is behind cover, like a couch or table. I don't recommend slugs d/t the overpenetration issues & that you won't need a long-range option in that neighborhood. If you can, a Ruger 10-22 with extended mag & Velocitors might be a better option.
Also, make sure you have a way to secure & hide your gun(s) while you're gone. Most of the crime in that area is breaking & entering.
Proud member of Gun Culture 2.0......