According to the LDS faith, did Noah build the Ark in America?

According to Mormon Doctrine, Adam and Eve lived in Adam-ondi-Ahman . Which was revealed to Joseph Smith to be located in Missouri (see D&C 116:1 ). This would mean that unless Adam's posterity went on some epic intercontinental journey between Adam and Noah's time, that Noah likely built the ark not too far from Missouri, and sailed it from America all the way to the Eastern Continent. Do Mormons believe the ark was built on the American continent? And that everyone who lived before Noah dwelt in America?