If you're going to be stressed like this, you might as well have the opportunity to obtain an unlimited income.

There are not unlimited deals that fit your criteria at $350K, but they are definitely out there if you are patient! 

Unlimited Property Contractors is doing a couple for me right now.

I recommend checking out Lifestyles Unlimited.   

Sometimes the same properties Will have stretches of more & some will have stretches of less.You have to understand there is an unlimited amount of variables in this business at all times.

Because in addition to the less stringent seasoning requirements, a lot of these local banks will allow you to put the loan under an LLC name, and you give an unlimited personal guarantee (also known as a contingent liability). 

More cash out of pocket, more eggs in one basket scenario and slower process to buy a second property, eventually (this includes moving out of my coop with which I have a love/hate relationship)Sell my current coop, buy a duplex with less TLC needed in my preferred neighborhood, move into the property for an unlimited amount of years, qualify for an FHA loan and use the extra cash to continue saving to purchase a second property in 1 year or 2?

Both gave unlimited reports and history.  

Then you can take unlimited passive losses which can be used to offset other income.

There are an unlimited supply of trails to hike and several rivers to kayak.