Additionally, since my parents are nearing the retirement age, I'd like to prioritize low-debt, high-cashflow deals.

There is no requirement for @John Gillick to replace debt with new debt. 

When your LLC takes a loan, expect as members to personally guarantee the debt.

Yes, it is debt tied to a property she owns.

In addition, the debt of each state is crippling.

Additionally, I expect applicants to follow instructions in the advertisement and application, to make and keep appointments, to show up on time for appointments, dress and behave appropriately at appointments, and in general demonstrate throughout the process that they are someone that is easy and pleasant to do business with.

Yes  I think the best move here is to asses your total monthly debt and see if a cash out refi will help decrease the total interest and monthly debt obligation.

Oh, AND I get to add some new additional handcuffs to the mix.Zero sense, it makes absolutely zero sense. 

Cash-flow is for "keeping the lights on" as in covering operational expenses to defend against any need for additional capital investment. 

Do DSCR loans qualify if purchasing through 1031 w/debt-carry-forward requirements?