EDIT: The original Commentor's criteria are exceedingly difficult to meet.

That said, I think Singapore and Indonesia are the nations which provide the closest matches to the required criteria.

Singapore's main trading partners are China, Malaysia, EU then US.

Indonesia's main trading partners are Japan, EU, Singapore then US.

I would throw in Malaysia but I am not altogether certain about their immigration laws.

The Emirates might fit, but while they are stable at the moment, I'm uncertain as to whether that stability is enduring. Think Lebanon in the 60's.

Most reports that I read point to nations like Indonesia and Malaysia as providing the most mid-term upside while reducing the perceived 'American Risk' via the idea broadly known as 'de-linking'.

For the longer term believe it or not, places like Madagascar, and the eastern African Islands are looking increasingly well positioned. Think increasing African trade with China.