On that note, I wanted to share a theory I came up with as I was reading 3rd Nephi where the 12 desciples are named.
3 Ne. 19: 4
4 And it came to pass that on the morrow, when the multitude was gathered together, behold, Nephi and his brother whom he had raised from the dead, whose name was Timothy, and also his son, whose name was Jonas, and also Mathoni, and Mathonihah, his brother, and Kumen, and Kumenonhi, and Jeremiah, and Shemnon, and Jonas, and Zedekiah, and Isaiah—now these were the names of the disciples whom Jesus had chosen—and it came to pass that they went forth and stood in the midst of the multitude.
I noticed that Timothy had been raised from the dead, in my mind that automatically made him a candidate to be one of the three Nephites. Who better to have the desire to not want to taste death than someone who had already been dead? I immediately thought that perhaps Nephi, his brother, and Jonas, Nephi's son, were the other two. Let's keep it in the family right? I read further, and the text does mention Nephi's death, so I guess it wasn't Nephi. I still think that Timothy is a prime candidate.
I guess it doesn't matter anyway does it, if it did, we would be told who they were.