I've searched all over the internet for some insight into this, but figured it was such a specific question, that the Bigger Pockets community was my best bet to finding some advice/answers!

Then your best bet is to put together a solid business plan (including information on your background and what you bring to the table) OR find a great deal and get it under contract.  

To avoid the double tax, an LLC may be your best bet. 

Bet on number 7 in the second race if you live across from the track....No really.....One oddball I have read in a couple of books and even online (here and elsewhere) that may have some merit is juding a potential property/tenants by their vehicles....( not the only metric for sure but just one observable factor of many to consider along with all the other data points and best practices).If the place you are looking at has a bunch of older inefficient, beater cars in the lot, this may be a management issue (leaking oil, immobile cars, unsightly) AND also eating up the tenants monthly paychecks in repairs, fuel, etc. 

.: Banks are the best bet for this type of loan.

You bet.

I imagine that they would be able to get traditional financing on a house like my example, barring any odd circumstances (high DTI, bad credit history, no creidt, etc.). 

It goes unstated, but many times I'd bet they are leveraged to the hilt with debt in order to grow so fast ... again, that is great so long as the RE market is strong as it has been.

I went from lender to lender and each promised me they could make the loan but each (I went through 3 before I was convinced) "discovered" this odd rule preventing them from making the loan.  

The local banks are your best bet,  but know they are evaluating you as much as your property.