No, that would be for a N-reg aircraft. Well, there's a loophole that says that foreigner can own it through a trust. But I don't want to go through the rather expensive setup procedure, deal with Delaware and involve lawyers etc. It would prob cheaper to ferry or ship a plane over.
The other, cheaper option, is to have one of my US friends own the N-reg plane. But I feel a bit uncomfortable putting them in a situation where, if I screw up, they could potentially be liable.
But, as you say Senior Skipper, it probably isn't an issue having a G-reg in the US once you've cleared the initial border crossing. Since I can't find anything on TSA's and CBP's website about it, maybe following the rule of "anything that isn't specifically prohibited, is allowed" is the best to do.