@Benjamin Blackburn, do these lists take into account OTHER Liens besides borrowings?

Some banks won't loan outside something they can drive to and some won't lend to an out of town borrower.

@Garrett HayesAnother thought is to talk to a small local lender and see what kind of money you can borrow. 

I'm not worried about the borrower as I know them well and we are both part of a highly accountable REIA.  

I allow my TSP money to gain interest at a higher "savings interest rate" than the bank and will borrow from my TSP for either fixing a new rental property or for the down payment.  

If not, is the LLC the current borrower or financed to you and your business partner individually and by "through an LLC" you mean you transferred deed to the LLC after individual financing?

I called several local banks close to the property, and they are not interested in financing the building for an out-of-state borrower.

(Doesn't mean you will be able to sleep at night if you borrow more money than you are comfortable with though.  

Borrowers with credit scores as low as 580 can qualify for an FHA loan.

Also carrying over a high balance for a few months might negatively impact your credit score, depending on how high the balance is to the amount you can borrow.