<p>MIT, Penn, Stanford & Duke are options to consider. The Univ. of Michigan should also be considered. It is, however, quite difficult to double major in engineering & business due to the requirements for an engineering degree which often takes 5 years if one does an internship.
Consider an undergraduate engineering degree with an internship, work for a few years & then enter an MBA program.
If focusing solely on an engineering degree for your undergraduate work, then the options expand considerably. Schools such as Carnegie Mellon, Univ. of Illinois, Georgia Tech & Northwestern University all offer outstanding courses of study that will challenge even the best qualfied student.
In my opinion, it would be best to surround yourself with other highly intelligent students if you do not have a very specific program in mind.</p>