The thing to remember about networking is that you want to build a network of people both inside and outside of your field. If you get an MBA, then your in-field network will naturally grow from there. The advantage to a quality LAC is that your network will likely include future scientists, politicians, journalists, and academics of many sorts. Being able to easily call on a seemingly endless variety of quality contacts will get you noticed in business.
LACs aren’t right for everybody but as others have said, you seem to be inclined towards that. Networking opportunities will be excellent if you go that way.