In the Book of Mormon, the terms "cross" or "across" were always used in reference to crossing over some water, never for "crossing" terrain. It is used 27 times describing the action of crossing water. It is used 6 times to indicate a wooden cross and 5 times to indicate trying to confuse someone. As an example for crossing water,

I Nephi 3:173 [13:29], "And after it goeth forth unto all the nations of the Gentiles, yea, even across the many waters which thou hast seen, with the Gentiles which have gone forth out of captivity."

There is a similar phrase for crossing water in the Bible. It is "passed over." A few examples are:

Genesis 31:20-21 - And Jacob stole away unawares to Laban the Syrian, in that he told him not that he fled. So he fled with all that he had; and he rose up, and passed over the river, and set his face toward the mount Gilead.

Judges 8:4 - And Gideon came to Jordan, and passed over, he, and the three hundred men that were with him, faint, yet pursuing them.

This is one of those discoveries that is so subtle, that if Joseph Smith had authored the Book of Mormon, he would have had to identify this subtlety when no one else understood this from the Bible.