The problem you always have with China trade is that there really isn't anything Asia wants except possibly precious metals. It's possible to have a China-India trade, but neither really has much to import from anywhere else in the world.
Not even jade? Mesoamerica had a fairly extensive jade working culture, and rich deposits of jadeite. While China traditionally places more value on white jade, a form of nephrite which does not occur in Mesoamerica, they still valued green jade which could be supplied from Mesoamerica. Perhaps a market would develop for Olmec Blue jade, if this thalassocracy developed pre-Mayan collapse?
Additionally, there are some high value agricultural products that could be worth trading to China. Cacao/chocolate beans could be one, for obvious reasons. Vanilla could be another potential high value trade good to jump start the trade routes. Of these, vanilla might be the more effective, as chocolate can be grown in Indonesia so an indigenous production might pop up, undermining the trade routes. Vanilla, on the other hand, can only be produced naturally in the region it originated in. Elsewhere it has to be polinated by hand and in a very specific manner. IOTL it took hundreds of years to work that out, so if they want vanilla they'll need to trade for it. China was perfectly happy to trade for ginseng IOTL from American merchants, so I don't see why they wouldn't accept other "spices" ITTL. And of course, if the Chinese really won't take anything other than precious metals, well the native peoples of the Andes and Mesoamerica have plenty of gold and silver to exchange for whatever it is they want.
If China really is an impossible market, the trade routes can connect to Indonesia instead. All of the above products could find a market there, plus coca leaves might fit well into cultures which already use betel nut.
I'm not too familiar with Polynesian history and culture, so I'm genuinely curious as to your reasoning here.The Polynesian islands are all pretty resource-poor one way or another, but things like shells or parrot feathers work fine as a medium of exchange in the Americas if they're exotic enough. Lack of trade goods isn't the issue with Polynesians, it's population.
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