That probably would be a state school, of which there are many very fine ones and don’t let anyone tell you any different(ly).
Well, most people who go to law school know what they want to do with their degree once they get it, and for most of them, that means practicing law. If you’re planning on going to school just to be in school – well, I guess you could go to law school for that reason, but it’s a hell of a lot of hard work to do as an academic exercise. If, on the other hand, you want to go to school (some school, further school, any school) to prepare for some career, then you have to first ask – what career? What do I want to do? (Even a list of hypothetical jobs would be helpful.) Then you can see whether going to law school would help you in getting from A (where you are now) to B (where you want to go). Because if it ends up you want to, say, teach history (and not history of law), then you might find you’ve invested three years of your life in getting a degree you’ll just never use.
Law school is a huge investment of time, energy and money. Even state schools will set you back $20,000+ for tuition alone. I’m not saying you shouldn’t do it, but it’s a huge investment for a degree you’ll only maybe use.
Having been a bit of a Jeremiah, I will say that there a several good books about non-legal things you can do with a law degree, though most of them are geared to people who get the degree intending to practice but then realize they hate practicing. There’s no reason they couldn’t be equally as useful to you.
Besides which, I would say that you are being hasty to say you absolutely don’t want to practice law. There are many, many different areas of law and many, many different ways to practice – not everybody’s in court all the time (or ever); not everybody argues every day (or ever); not all law is adversarial. You might not want to be a trial lawyer, but maybe you could work for a non-profit as a lobbyist, or draft policy, or issue ethics opinions? Or whatever?
But if you’re serious in want to not practice any law, though, two jobs I can think of off the top of my head where a JD would be helpful are: Law librarian – JD required, good money, helping people, get to be around books – and non-profit work – program directing or grant writing or whatever, where the analytical and writing skills of a legal background can make a candidate very attractive. You don’t need a law degree to do that, but it can be helpful.