It sounds like this might be a struggle at first but hopefully, it should pay off after a few years.  

Nevertheless, even though I have a healthy E-Fund, I don't like the idea of having to rely on a tenant and/or tap into my savings whenever I do not have one, but I may not get this opportunity again, so I am really struggling as to whether I should take this risk.

I am struggling with some people taking me seriously as I am a 19 year old girl.

I feel stuck and I want to get over this hurdle that I’m struggling in which is putting the deal under contract.

To be honest, we're struggling with finding one ourselves.

I am struggling with the down payment obviously as I do not carry $350000 cash in my pocket. 2 properties that I own I would be willing to part with if it would help me get this one.

For example, a struggling property may have a very low going in cap-rate give but once stabilized the purchase price makes sense and you can deliver a strong IRR. 

It's not as huge a jump for them, they will struggle to find something comparable, if your market rent estimates are off you won't immediately lose a tenant, it sents an early expectation of firm but fair increases, and you will make good progress toward market rent. 

The going price seems to sit around 200-250k/unit (regardless of NOI), which given the limits of the rental market I am struggling to make the numbers work.

@Jobie DeVinney-Walsh,Terribly sorry about your recent struggles- I want to help.