If you have an engineering background, you can leverage that + any MBA to get interest from management consulting firms working on projects that require your specific engineering expertise. You may well find the MC companies with which you interview might be more interested in your pre-MBA experience than your MBA.
But absolutely check out the companies that are recruiting on campus at CMU and UNC and the average salaries for grads that enter consulting and the places they go. That should all be available on the school's website and might help you make the best choice for you.
Good luck!