Egyptians in the New World?

[Epictetus]

Nathan has a good point, and he is also bolstered by a Roman mistake regarding geography in that region.

Britain is the largest island known to Romans: as regards its extent and situation it faces Germany on the east, Spain on the west(1)...

(1) The error of conceiving Spain as west of Britain, in spite of the testimony of the explorer Pytheas (c. 325 BC) accepted by Eratosthenes (c. 250 BC), lasted until the second century after Christ.

Tacitus, Agricola, 10, Note by Hutton and / or Ogilvie in Loeb Classic Library Tacitus I

You could consider a ship sailing a bit too far to the west, in the mistaken belief that Spain was west of Britain.

We discussed the idea of sailing the Atlantic in this thread, which might interest you.