There are potential advantages to using a LLC for rental properties. I advise most of my clients who want to do rental properties to hold them in a LLC, LLP, or corporation. It can in some instances protect you from personal liability for debts of the rental business. But it does not help you for LLC loans that you personally guarantee, and many lenders will insist on that personal guarantee, especially before making large loans to the LLC.
A nonrecourse loan is a loan in which the lender agrees that it will not have any recourse (claim) against you personally if the loan defaults, leaving its only remedy to be the foreclosure of the property itself. In my experience lenders are only willing to do such loans if the equity in the property from the start is sufficiently large that the lender is pretty much guaranteed to get back the whole loan amount if it has to foreclose on the property.