AHC: most of Amazon Basin controlled by a Pacific based country

Challenge: With a POD after 1500 have more than 50% of the Amazon basin controlled by a nation whose Capital is less than 300 miles from the Pacific and with more Pacific Coast than Atlantic.
 
Get Gran Colombia, but have Venezuela still end up seceding. Fight Peru for the Loreto Region. Get a weak Brazil where they can't enforce their claims to Amazonia. I believe there was a theoretical Spanish claim to the mouth of the Amazon, which was attached to New Granada.

So I believe all that would meet your critera.
 
Do the Polynesians count? Some of them might get blown off course with a 1200s POD, displace the locals and by the 1700s they could "re-establish" communications with the homeland.
 
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