Company sponsorship
In short, get a US based, preferably New Hampshire based, company to sponsor your green card so you can come and work for them. This obviously requires you having something of great enough value to offer a particular company to be considered for such a benefit. What would that be I can't tell, because it would probably vary from depending on field of expertise, but probably the good question to ask yourself is the same question people should probably ask themselves when trying to find a job or open their own business: What do I have to offer? What would I want to offer? and then see if this is valuable enough to get the extra benefit of having a US company sponsor a green card for you (which is obviously what differentiates looking for a standard job from this).
Then if you can find a companies which you believe would benefit from having you enough to go the extra step to sponsor your immigration in order to have you, contact them and hope for the best.
I'm personally not an expert on this and if there are any details or corrections you would like to add with regards to this tip feel free to post in comments and I can update this entry.
Thanks


Path to the US
I see this method as the most promising for international free staters. So if anyone has expertise or has been through this process before, please contribute some tips here or on the FSP forum (in the international section). Plus, if people know of relevant treaties that might aid one's chances, let's hear about them.
I plan on being down for the liberty forum in March, and if I can find fitting employers, I may be able to push for this sponsorship approach.
I also wonder how a transfer within a company would work. If I were to work for Fidelity in Canada, how would a transfer be arranged for a position in the US? I suspect that the international corporates know of loopholes, and that may be a backdoor sponsorship route.