In Judicial foreclosures (mortgage), it will state something along the lines of "Under and by virtue of the power of sale contained in a certain Deed of Trust."

@Edward Acker I'm going to preface this with saying that I have a legal background in estate planning and asset protection, however, this is not specific legal advice, just my opinion.Keep in mind you should also adhere to all the corporate formalities (separate bank accounts, have an Operating Agreement--even if it's just you as the sole member, file annual/bi-annual filings). 

I've done AirBnB's for many years, but this is my first jump into the formal hotel ownership space, and I'm wondering what pitfalls others have seen that I may avoid. 

I'm looking for something 10 minutes or so from the house where I can meet up with other investors for an hour or two in the evening.I'm not looking for anything formal.

Do a formal inspection report, determine repairs, and then follow back with another notice to make the repairs. 

But a foreclosure or sheriff sale is just an auction / sale of the property - some states use sheriffs which are judicial and non judicial use a trustee or attorney/ auctioneer to auction it

If something doesn't seem to make sense or is too complex,ask for a more simple description, ask for a formal estimate and breakdown of the cost. 

Who should the cashiers check at a non-judicial foreclosure be made out to?

That being said, this projection isn't absolute if you don't maintain the formalities of the LLC (including co-mingling of personal/business funds, corporate governance).

I have zero formal credentials but I've been "lurking" on BP for longer than I care to admit 😊.