@Josh Hickman - I have no idea why this thread popped into my notifications, but once I read it I decided that I must comment. :)
I've spent the last 12 years working with Electrical Engineers (not Mechanical) and have been fairly successful in business. I'm a financial controller for a large tech company, and have led the business side of the engineering groups I work with. Having said that, I am dying to know what the end game is with your educational path. Don't get education for educations sake! A mechanical eng degree sounds great. Then, and only then, get the MBA if you want to fully change your career path to work in business within a company that is primarily comprised of Mechanical Engineers. Specifically, this combo is great for product management or product marketing withing a company. My colleagues who have their BSEE, MSEE, and MBA only got the MBA as they were tired of engineering and moved into the business side of the house. My colleagues who have their BSEE, MSEE, and MBA who stayed in engineering quickly realize that the MBA was useless to them. Most regret the decision, or justify that it helped them have a conversation with me about business (that's an expensive education to be able to carry a conversation). The addition of physics after the MBA just leaves me scratching my head (it's an interesting trio that may not be as marketable as you think).
Sorry, now that I am done with that....I like the idea of investing in real estate while in college. I wish I had lived in a market where it was possible. If you are in the St Louis area, I would highly recommend that you buy yourself a 4-family property with a FHA loan and you live in one of the units. You can put just 3% down, and the other 3 units should fully cover your mortgage! It would be great if you could find a property that isn't a full BRRR, but a value add deal (for example, turn all the 1 bedroom units into 2 bedroom units with a little bit of drywall and framing). Once you do that, the property will not only pay your rent, but you will be profiting. At this point, move into another one (once again, 3% down). By the time you finish your undergrad you will probably own 4 x 4 family properties (1 per year - 16 units). These properties will pay you for the rest of your life. :) At that point, you may just decide to say F more school and do it full time.
Best of luck! P.S. What I described is called house hacking. I didn't do this....like a chump I worked really hard, saved a bunch of money, and now invest like a mad man so that I can get out of the rate race before I am 40....not too far away.