There are programs for you to qualify for this but you need better credit and more down. 

But you'll get to establish a relationship with a local bank (or several) and potentially open the door to obtaining a business line of credit down the road once you have built up trust with the lender.

Lack of income, or a history of evictions.Any suggestions on what could help this situation are appreciated.

The Line of Credit will have an adjustable rate. 

You could then perhaps pull a line of credit(which is great because you pay no interest until you actually use the money) and go find another one.This is what I would do(multi-family) if possible...but different markets will require slight tweaks in your strategy. 

I also should mention that I have not saved a down payment OR that I am in the process of rebuilding my credit and although I have come a VERY long way I have average credit at best .

Once it’s seasoned after 6 months, refinance through a local bank or credit union.Now, I am a fairly new investor with my real estate license and a few units under my belt but I recently left a regular 9-5 and want to see what my options are in order to refi on the property with no W2 income.

My advantages that I know of are my ability to get a mortgage (W-2 income, credit, and debt ratio are all good), having enough cash and house equity to get a 25% down non-occupied loan on a SFH or duplex (in my market), willingness to sell and move to house hack a 3-4 unit, understanding the fundamentals and math of small residential REI, love of learning "systems", and being a complete badass at life in general ;)My disadvantages that I know of are that I don't have experience yet in buying/managing rentals, and I haven't met enough other investors to learn about a lot of deals early in the pipeline.What would you do in my situation?

-Sell them off  on Rent Credit or Lease Option. 

My response to their question is always truthful: We manage this place professionally with credit checks and employment verification.