There are also opportunities to have your residency program pay for you to get an MPH - a good way to save $50,000 worth of loans. There are issues with loan deferment (and the simple fact that interest keeps building on loans for each year you hold on to them). Thus, while it may be possible to take multiple years off of school, it's probably not in your best interest to that unless you have pressing reasons to do so.
Also, what would be the purpose of getting both an MPH and MBA?