Thanks to everyone for the replies.
You guys have raised 3 issues:
1) *I need to have a foreign tax home, i.e., be resident SOMEWHERE.*
But my understanding is that if I qualify for the Foreign Earned Income Exclusion using the Physical Presence Test (rather than the Bona-fide Resident Test), I would NOT need to have official residence (or a "tax home") anywhere - rather, I'd simply need to be physically present outside of the US at least 330 days per year. Isn't this correct?
2) *visa issues in the various countries*
I don't see why this would be a problem - most countries in the world grant visa-free access to US passport holders - usually for 90 days, sometimes for 180 days, etc. Officially, I'd be a tourist wherever I went.
I wouldn't actually be employed locally in any of these countries, so I don't see why I'd need a work visa.
As for "doing business" and requiring a business visa - isn't there a way to structure my business so that I wouldn't officially be doing business in the countries I'm actually present in?
For example, my corporation and corporate bank account were in Bermuda, and I was visiting Hong Kong for a couple of months, and while in Hong Kong I bought something with my corporate credit card and then sold it to a US customer over eBay (with the money going to my corporate account in Bermuda), or over my own web-site.
Example #2: I am a translator, and while visiting the UK, I work on my laptop, translating documents from Japanese to English for a client in Australia. Again, the client pays my corporation in Bermuda.
Legally speaking, in the above examples, would I be in violation of my tourist visa? Would I need a business visa to do something like that? And is there some other way I could operate my business so as to not have to get a business visa?
3) *US contolled foreign company reporting would lead to onerous reporting requirements and a significan US tax obligation*
This seems to be the only real kink in my plan, as far as I can tell. If any of you can explain this in more detail, I'm all ears, and would greatly appreciate your effort.
Is there any way I could get around such reporting requirements? For eample, what exactly is the definition of a US controlled foreign company? Suppose my wife, who is not a US citizen, owned it - then what? And what would the US tax obligation be on a Bermuda corporation, even supposing it were owned entirely by a US citizen?