Alternative funding/private funding

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I recently graduated nursing school (hello job security) and I want to invest in real estate. The problem is I'm having trouble getting my first full time job- my lovely school messed up three times and screwed me out of 3 months of wages. Now that everything is straightened out I'm applying like crazy with no success as of yet. I'm working almost full time where I'm at now- $24 an hour, my credit score is 724 ish and I have no bad remarks on my history.

I have already missed out on two properties I loved because of this nonsense with my school and now there's a third one that's even better than the first two. Properties in this town go quick- in as little as three days. It's three units, I had planned to buy it with an FHA, live in one, rent the other two.

Has anyone had any success with unconventional funding?? I feel like if it sounds too good to be true it probably is.... 

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They keep telling me I can't be approved because I'm not getting 40 hours a week. Mind you in the last three weeks I worked 32, then 40 then 48 but the week before that was only 24. My hours fluctuate but I'm making good money and my bills are getting paid. My current debt to income ratio is only 6%. Yes I have student loans but my car is paid off. I have a credit card that I'm working to pay off- its around 24% utilization. 

I'm desperately trying to find a 40 hour/week job but I keep experiencing setbacks- like my school misspelled my name when they submitted it to the state board of nursing TWICE. (Idiots.) It was a HUGE deal to get it sorted out.

I'm ready to pull my hair out.