Can anyone recommend or guide me to a bank or banks with a good track record lending to Self-employed investors buying properties?

You have to provide credit reports, income proof, employment proof, tax returns, etc just like any other loan.Subject To doesn't do any of that.

Im interested in a 4-plex which i will owner occupy 1 unit and rent out the other 3 . i will also manage it.The 3 units will pay for the entire mortgage and expenses.I can prove that i have enough money saved to be able to pay the mortgage for a year even if i didnt have any tenants.BUT I have no experience managing a property.I am currently not employed, recently quit to peruse real estate.And i cant prove 2 year at same job.All i got is last 2 years of W-2 at two totally different jobs and incomes.Credit is in low 700's but never had a mortgage.Can i get a loan?

The problem is with so much new construction close to town, it your competition is within 15 minute drive of any employer. 

As lance mentioned you'll want to compare the option of being 1099- the trade off is you pay self employment tax, have to manage your own business per say, file a Sch C on your taxes...but you get to deduct all applicable expenses. 

The numbers still do work without.The emails and calls have been picking up as the end of the month approaches.  1st and 2nd week had a big issue with people not showing up to view.  3rd week I started confirming appointments and that helped a lot.  95% of the people interested have had fairly low credit with collections or not employed or temporarily employed for the last month or so, etc.  3% have had no credit and are just "starting out".  

You are trying to evaluate them based on your senses and their living situation, when you should be using their credit reports and employment.

However I've hit a wall on lending because I'm in the US on a work visa so I can't show self-employment income.

I like to ask for the employment address. 

Your 401K for self-employed is a great thing, I'll definitely be taking a look at that..