Mexico and the Caribbean countries are going to be huge beneficiaries nit only of the post-pandemic travel boom but also from the work from home trend, as more people look for a better lifestyle at a much lower cost with beautiful weather and beaches to boot.

I believe you will need a very good reason for why it should be delayed with an explanation as to how it will benefit or at least not cause additional harm to the Trustee's beneficiary. 

In your (Private) trust change the name of the beneficiary to the LLC, (hopefully not in California.) 

As for trust or living trust, it's more towards the protection of your future beneficiary so that the estate tax (depending on each state) won't be taxed heavily upon the trustee's death.

to be secured on a NOTE you need to be named in the Mortgage or Deed of Trust as a beneficiary.. if you not your not secured.

The property is held in a living trust, could I add my LLC as a beneficiary to the trust as to not trigger due on sale?

I was lead to believe this gave the PR the license to sell any assets and pay beneficiaries. 

You should check on the state's laws where your property is located, and (as always) check with an attorney.If you use this method, the two main questions to answer are, who will be the (initial) trustee and who be the (initial) beneficiary.  

If the attorney thinks it can be done, obtain a title commitment before starting so you can be reasonably sure a policy will be issued when you're done.I have run into situations where some of the heirs of the property owner have themselves died leaving heirs and beneficiaries and sometimes some of those heirs have also died. 

However, a well-drafted Purchase & Sale Agreement will include provisions that contract is valid and applies to all heirs, beneficiaries, and successors in interest.Of course, you’re still stuck with having to satisfy title insurance requirements that I’d expect needs to probate this estate to pass title to this asset.