Under what circumstances can a u.s. citizen have an offshore trust where the govt cant tax money on the funds inside the trust and at the same time cant look into the origin of such funds as long as a foreign citizen ...

(if you're planning on doing this with several properties, consult a business attorney or someone well versed in structuring to maximize anonymity and asset protection,  i.e holding company for the individual LLC's)Most important thing to keep in mind is if you are going to be utilizing the LLC(s) for liability, speak with someone who really understands how to structure these because not setting them up properly can be, in some cases, no different than not having set one up at all. 

.: An LLC is useful for two things: anonymity and legal protection.

But my understanding is that Delaware is the best place to create an anonymous LLC.

You also get anonymity with have this type of asset protection in place. 

Scott does say that you should from the very start setup LLCs as this will create asset protection in the form on anonymity.

Instead of anonymous web page reviews the reference section of a members profile  here lets you interact directly with those folks to get the true skinny on someone you're contemplating working with.As always, do your homework find the best practices and work with someone  you click with.  

Quote from @KL Kam: An LLC is useful for two things: anonymity and legal protection.

My strategic reason for doing so is to diversify my portfolio beyond global publicly-traded businesses.For example, I have a small amount of money invested on CNote, which pays a 2.5% return from lending money to CDFIs (https://www.cdfifund.gov/), and Calvert Impact Capital, which pays me a 1% return on my investment.I use a donor-advised fund to make anonymous donations to local 501(c)(3) charities because I live in the area and want to "invest" in the quality-of-life of my community.

So you're not completely anonymous.