(I realize that I could go to another area with more favorable cap rates etc, but I don't wish to do that for various reasons beyond the scope of this post)My question is if I keep shopping will I find a bank that will lend at a weak DSCR based on my global finances or are property finances always all that matters?   

That being said, if the deal is good I would consider getting recourse debt because the process can be much quicker, easier and they may have other terms that make them more favorable (i.e. no pre-payment penalties, wrapping in more of the loan cost, no money down via seller carrying full second, etc.).

@Makoto Hawkins possibly seller financing at a higher purchase price in exchange for less capital down and/or more favorable loan terms than you can otherwise get 

The credit card companies report your debt and affects your debt-income-ratio (DIR); may be credit score too.Based on the situation; private funds may be favorable than credit card debts

I’ve got to side with @Sam Shin on this one, HI is a very unique market with an incredible amount of factors favoring homeowners.

A portfolio loan is a more expensive rate with less favorable terms (ie shorter term with balloon payment).For a really creative solution and after drinking plenty of coffee, read this thread:https://www.biggerpockets.com/forums/48/topics/460294-how-to-cash-out-1-4-unit-property

These facts of raising private money gets overlooked a lot on BP in favor of the Rah Rah if you have a deal the $$$$ will rain down like manna from heaven. 

(BTW it was a turnkey property, neither of us brought money into the deal because the mortgage broker was a partner with the investor so they "Did us a favor".

With respect to what is an appropriate split (preferred return, 70/30, or 50/50), personally I believe everyone gets caught up in the percentage of the split verses the rate of the return.The reason many multi-family products have a high split or a preferred return in favor of the investor is they need that split in order to generate an attractive rate of return. 

We're in Raleigh and I can tell you that the zones here are not in favorable submarkets (obviously).