Then, when it’s time to purchase the third property, you could refi out of the first FHA loan (if you have enough equity), and then use your FHA loan again, or use a conventional loan product. 

You want to reno for the market.....so you want the best product at the best price.   

@Eli Sorey - I think that this answer will vary depending on the production of the agent. 

Cash flow is stable if you choose the right product and manage well.

Mortgages take lien positions and the product you're asking for doesn't exist.Contact a portfolio loan broker. 

My understanding is that there has to be a valuation of the stocks in order to roll over my 401k and Pension... the FA that I am currently talking to, wants to validate the stock before rolling over the money?

Then you can develop investor personas and really hone and refine your marketing campaigns to attract the best investor candidates for your product type, duration, etc. 

If analyzed and assessed properly, it can validate your ultra-conservative income and expenses. 

I joined the brokerage that was the #1 in my market (by far), then I joined the office location of that company that had the highest production per agent, then I copied everything the top agents in that office did.

These do allow as little as a 5% down payment for conventional loan products.