I agree with Maintain you really need to understand that law school does not exist in a vaccuum and the location you choose will be where you spend a minimum of three years of your life and most likely the entirey of your legal career. If you attend Syracuse you will take the New York bar and after you take one bar you will not be anxious to take another.
Additionally, three years is a long time and while in law school you will likely enter into a realtionship and if you already have a spouse they will build roots over three years as well you. Picking up and moving after three years is tough especially since all your legal connections will be local and if you attend Syracuse all your connections and your school's connectiosn will be up in Upstate New York and all the Law Students that attended South Carolina will have a significant advantage over you.
I am an attorney and I just reviewed a number of resumes and frankly people applying from out-of-state or out of area law schools I didn't want to bother with. I am in the Bay Area and there is Hastings, Golden Gate, USF, Santa Clara, Davis, and McGeorge applicants who live close enough to actually move. I received resumes from Michigan State, Gonzaga, Florida State etc and just practically I don't want to have the conversation of them asking we will fly them in and I imagine they are more likely to take a job in Michigan, Washington, or Florida so if we even offered it to them there is a good chance they won't take it.
The name of the school is not that impressive and at any ABA school you will learn the same exact thing if a Harvard or Yale resume came across my desk then maybe I would consider flying them out, but if I saw any of the schools you are considering for a job in the Bay Area I would not take it seriously. Not that these are bad schools if I had a firm in South Carolina I would actively recruit from University of South Carolina and not look at resumes from Bay Area Schools.
Also remember that U.S. News should be taken very seriously particularly with schools of this caliber it is a magazine nothing more and at any ABA school you will learn the same thing and your first year will consist of Torts, Contracts, Property, etc and you will read Supreme Court cases the Supreme Court does not write seperate opinions for different law schools and in your first year you will read Palsgraff to learn Proximate Cause, Pennoyer v. Neff to learn about Notice, Hadley v. Baxendale for Contract Remedies so on and so on.
One final piece of advice is to visit each of these schools and get a sense of how you fit in. Although, the law is the same each school has a culture to it and I know as a 0L and having competed in a lot of mock trial competitions different schools have very different cultures some I liked others I didn't. Maybe as analyogy I see your a Marine and in the armed forces and the Army, Navy, Coast Guard, and Air Force are also armed forces, but have different cultures I would imagine. Same for law schools I know there were some I liked and others I hated, but you probably think much differenlty than I do. So visit the schools talk to professors, walk around the campus, talk to students, and talk to administrators and see how you feel about the school. After visiting some schools I knew I did not want to attend school there and others I loved, but that is me and this your life altering decision don't let a magazine make it for you.
Good luck in legal career and excuse the typos sneaking in a little Law School Discussion Post at work doesn't allow me much time to edit.