Trailer from different state to tow vehicle?

Thanks for all the replies. Good to know it's possible, but thinking about it more it's probably not a good idea - as several have mentioned, it would be rather unusual for police (and for CBP), as well as hard to register as a non-resident in most states.

I did previously have a car registered in South Dakota as a non-resident (years ago), but their rules have tightened in recent years for non-US citizens.

So I'll drop the idea. Thanks again for helping me clarify this thought.

Rob