If you don't plan on paying cash and have to leverage with an owner-occupied loan product then you should set up your LLC as a property management company because you will not be able to borrow in the name of the LLC.  

As mentioned have an attorney or title company draft the note and mortgage.

Currently, I'm still buying, flipping, and running a PM company. 

The paralegal was good at interfacing with title and trustee companies.

The only logical way a company would know their average tenant stay, is by running a report.

If so, what’s the purpose of that holding company, assuming anonymity is not a priority?

The specialist I recommend you have is an attorney to properly draft the documents and a title company to facilitate the deal.

This is a very labor intensive process for most big box skip trace companies because it cannot be automated.

It may sound nice to pay a 6% management fee but the extra fees can add up to be more than the other company that charges 10% with no additional fees.

Prior to the GFC I had a pretty robust HML company with 20 plus employees doing 60 HML a month through out the mid west Rust belt and deep south by 2010 It was over like 95% of all HML we all got our butts handed to us..