Not personally familiar with LSU-shreveport, but the bottom line is residency is just a small part of your career and most of the patients don't care and most real world jobs aren't going to care either. Real world jobs care about your ability to see patients efficiently in a safe manner. That is, *BY FAR*, the most important thing they want. Thats also true in the vast majority of cases where you are in business for yourself....after all, if you are covering inpatient and billing yourself you are going to be in a world of hurt if you can't move through patients and get out of there. Thats one of the things I've seen other recent grads struggle with- they graduate residency and get a job where they eat what they kill to some extent, but they are still in that residency mindset in terms of daily work flow. Meaning you can spend 40 minutes shooting the **** with case managers and whatnot. Yes, you could do that when you were a residency and you saw your attending do it as well, but you were both on salary then. The case manager may be able to, but she's also on salary.
Being seeing patients efficiently and safely together, the next most important thing for community hospital/pp jobs is just getting along with others well. And then after that how good you are.
So unless you want to have an academic career, I wouldn't pick a residency based on the quality of the program so much. I'd pick based on location way above that. Now maybe someone hates Shreveport or maybe someone loves it because it's close to family....who knows. But I'd pick based on that and not how good a certain rotation is.