Well, it seems like I can get an extension to my current F1 student visa in the same way other students get visas for regular jobs - through the Optional Practical Training (OPT), which comes as part of an international student's existing F1 visa. The OPT provides a 12 month visa extension beyond the end of the MBA program.
The International Student advisor here at Kellogg points me the OPT policy guide, in particular section 7.2 pages 17 & 18:
What types of employment are allowed for regular pre- and postcompletion OPT?
All OPT employment, including post-completion OPT, must be in a job that is related to the student’s degree program.
For students who are not on a 17-month extension, this employment may include:
Can it really be this straight-forward? I guess we'll find out over the coming month, as I put my application in.Self-employed business owner. A student on OPT may start a business and be self-employed. The student must be able to prove that he or she has the proper business licenses and is actively engaged in a business related to the student’s degree program.