Can my plan actually work to buy first fourplex in Las Vegas?

[Mecca Walker]

I have done a ton of research, but you can't actually know everything that's out there, which is why I'm coming to you guys! So far I've come up on a dilemma that I can't figure out a way around. I'll mention my goals, then my options, and you guys let me know which is best or a better route. Please and thank you!

Goal: purchase fourplex (Las Vegas, owner-occupied) with FHA or low-income/first time homebuyers program by August 2017

Options: Graduate May 2017 with a comfortable savings for down payment/closing costs and an emergency fund, then obtain (A) full-time or (B) part-time employment to use toward applying for financing 

Preferences: no 20% down payment (the lower the better) and I want to purchase property as soon as possible rather than continue to rent an apartment

Dilemma: I want to pursue an MBA through an online program after graduation as well, but worry about workload and how having less income (a part-time job) will affect financing