If you want Luther in the New World, there seems one remotely plausible late-PoD way.
[Lots of handwaving] At the Diet of Augsburg 1530, Luther's envoy Philipp Melanchthon (writer of the Lutheran basic creed, the Confessio Augustana) meets Bartholomäus V. Welser, the famous banker and lord proprietor of Klein-Venedig. Welser becomes convinced that Luther knows a lot about the right way to read the bible, but cannot openly support him.
Still, he thinks that the heathens of the New World need to hear the Word of God in the right way. Melanchthon travles to Wittenberg and convinces Luther that he himself has to travel there to organize a truly pious church in Neu-Augsburg (Santa Ana de Coro). Little Johannes, Elisabeth, Magdalena and Martin jr. are noisy and demanding, so a long vacation seems appropriate.
So when the Welser galleons sail from Sanlúcar de Barrameda, onboard is another German, called Junker Jörg/Don Jorge by the others ...