MBA vs. JD for Oil&Gas

I am currently working in a corporate finance department at one of the major midstream Oil & Gas companies in Houston. I started working about 3 months ago after graduating with a finance degree from a top ranked liberal arts school. I completed 4 internships while in undergrad including 2 in asset management, 1 in data analytics and 1 in accounting.

I have always had in the back of my mind that I would get an MBA after a few years of work experience, but after talking to many people in my company I am starting to have second thoughts if it is worth the cost(~100K). Most people I have talked to say that work experience is the most important aspect of getting promoted/going high up in the company/Oil & Gas industry and not an MBA. I see a lot of engineers who get an MBA to learn business knowledge, but not that many business/finance undergrad guys in my company.

Because of my second thoughts about business school, I have started looking into law schools. Since I graduated with a finance degree, I feel like a law degree may provide more value to my career than an MBA because it will give me more versatility.

If my goal is to climb the corporate ladder as quickly as possible in the Oil & Gas industry would I be better off getting an MBA or going to law school? If it matters, I would pursue the part time programs because I cannot afford to not have a salary for a few years.

I know there are many variables involved, but any advice would be much appreciated.