The Olmec culture in Mesoamerica is a very interesting one. They were believed to be the first civilization of Mexico from around 1600 BCE (before common era). They were believed to have influenced latter cultures like the Mayan and when you look at the style of their art, it seems that the Mayan likely looked at the remnants of the prior culture and wanted to imitate.
The statues were often times huge heads carved from volcanic basalt. This reminds one a bit of the Easter Island Moai.
When people look at the features, they assume they are African in origin, but Africa was not a continent known for seafaring long distances. The most likely culture is the nearby Pacific one - the Polynesians. They were boat building seafaring people who spread out across the South Pacific. The features and art style are much like theirs.
This handsome Samoan man shows the beautiful features with full lips and wide nose, and a body that is built for wrestling and hunting.
Many figures show a body type that is not indicative of Native Indians of Mexico eating their native diet. But, they are indicative of the body type found in many islanders, a more powerful and padded figure.
You can see a subtle Asian influence in the distant past.
America had some tribes that were coastal and went missing. They included the Pericue of Baja and Karankawa of Texas. Their skulls were shaped like the Polynesian skull and they had great fishing skills, spools in their ears and tattoos. Sadly, they lacked immunities to European diseases and died off. Incidentally, those of the South Pacific have Denisovans genes and the Denisovans were shown to not have a great immune system.
There's another telling thing about Olmec art -
There are other places in the mound culture in North America that show similar style.
Burrows Cave - Illinois
"Naga Man" Anaconda Mountains Montana (Don Monroe)
Was there a culture that was seafaring that landed on the shores of many parts of the Americas and left their influence? Perhaps left their bloodline in the coastal natives who died out from contact with diseases?
There are many cultures that have adopted prior culture's work by simple possession. Amerindians spreading out over the Americas found lots of prior culture that they took over and adopted and today still get credit for. As well, there is much of Egyptian, aboriginal, Mayan and other cultures that are taking credit for structures, art and technology that their people did not create. It will take some very brave scientists to finally peel back the mirage that the "holy trinity" put forth through - government/religion/academia hidden agendas.
Below are some interesting worldwide comparisons of ancient giant head finds with similar features.