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Well, the Beneficial Ownership Information Report takes 15 min to fill in online and is not complicated - doesnt make sense to pay for that. And hasnt Trump removed it anyway?

For the annual state filing and state fees: Well, one sets up one's LLC in New Mexico where there is no state filing nor any recurring state fee.

For the annual 1120 and 5472 filing, that is a little bit complicated, and different accountants will tell you different things. I see it this way, that no third party will care as much as you about this, so best to be in control here oneself and not outsource it. It's not too difficult to find good information about this and even pay for advice - but best to file oneself.

And then you have the registered agent, cant escape this unless you have a friend living in the US willing to handle it. There are totally fine services that are worth paying for Id say.

And beside the initial setup (which is also worth paying for) that's it!
Yes, according to the interim final rule issued by FinCen last March, BOI reporting is no longer required for domestic entities. Filing is now voluntary in such cases.

Regarding New Mexico, are you certain that no Articles of Organization need to be filed to form an LLC? That seems unlikely. Maybe New Mexico does not impose annual reporting requirements, but I believe that an initial state filing is mandatory to validly form an LLC in New Mexico.

Additionally, New Mexico imposes a state corporate income tax. Therefore, if you elect to treat the LLC as a corporation for federal tax purposes (and file Form 1120), the entity may be subject to New Mexico’s state-level corporate income tax, depending on the nature and source of the income earned. I do not know if a "water's edge election" is available over there (maybe they exempt foreign-source income), but it is something to have a look into.

Usually, non-resident aliens form LLCs in Delaware, Wyoming, or Nevada.
 
Guys, please remember this!

I’ve seen far too many individuals get into serious trouble because they believed they could handle everything on their own. Take, for example, U.S. persons who set up joint-stock companies in Colombia, established obscure trusts in little-known Caribbean jurisdictions, and engaged in all sorts of complex structures to invest in U.S. capital markets ,often without fully understanding the legal and tax implications. Eventually, they end up seeking help, hoping to qualify for the benefits of the Streamlined Foreign Offshore Procedures. But if you've been operating like Blofeld from Spectre, don't expect the IRS,or any tax authority, for that matter,to believe you acted in good faith. The same principle applies globally: if your actions appear shady (or reckless, at the very least), you're likely to face consequences at some point in the future.
 
This is completely irrelevant to this discussion, but for a US resident an EIN can be obtained via online application.

Formation of a corporation in another state needs to balance the costs of incorporation (filing fees, registered agent costs, state taxes in the state of incorporation, etc.) with possible costs associated with filing as a foreign entity (this being a concept among US states as “foreign” to the state) in your state of residence/state of operation and tax liability in the state(s) of operation. Of course, state definition of operation or nexus depends on the state (you may not have to file as a foreign entity…some states only consider in-state derived income as operating in state) and the states have tax codes as grotesque as the federal one. It can make sense in some situations to file a Wyoming LLC, for example, and in other situations it can be simpler to file in your state of residence.

The IRS, of course, cares nothing about those details as long as they get their cut on the federal level.