The property was technically purchased from an anonymous trust, but Elite Invest LLC handled all the sales and communications, as well as the rehab.

And you are still governed by the laws of NH (or any other state you are working in. ) and lose any supposed benefit of favorable NV laws, anonymity, or liability protection. 

You could also call the county and inquire anonymously.

A trust might provide some anonymity and tenants do not have to know that you are the owner in any case.

I will say, that a lot of investors use an LLC to provide a bit of anonymity and to try and mitigate some "liability" though depending on who you talk to, it may provide quite a bit less than many think.  

The fifth pillar is owning everything anonymously.

What are the best states to set up an entity with regards to taxes and anonymity?  

The beneficiary remains anonymous except to the trustee.

He said the investors he worked w/ like to remain anonymous and don't want there information shared.

For anonymity I am just going to use averages here.Average Purchase Price: $518kAverage Gross Rents: $4,850Average Down payment: $26,000 (5% down conventional loan program)Average Net monthly income: $3,400 (includes vacancy, repair, capex, tax, insurance, utilities ect)Average P&I payment: $2,700Average profit after all expenses: $700Average Cash on cash return: 32%If you want better than this, you are going to need to go to the southside.