Alternate "Fellowship of the Ring" Opening

There are indications that other prologue narrations were considered, and you might find what you are looking for on the Extended Edition DVD.

From the DVD Journal review of The Lord of the Rings: The Fellowship of the Ring:
Extended Edition

Under the menu for Visualizing the Story you'll find a featurette
called Storyboards and Pre-Viz: Making Words into Images, covering the
obsessive planning of every aspect of the film...Also in this section
are Early Storyboards, animatics of scenes that were never used,
including an alternate opening with Frodo as narrator...

And from imdb:

Originally the narration at the prologue was to be spoken by Elijah
Wood, but it was felt that the information imparted had little bearing
on the character of Frodo. Ian McKellen also recorded a narration but
once again it was felt that Gandalf wasn't the right character to
speak it. They eventually settled on Cate Blanchett as Galadriel, as
it emphasizes the timelessness of the elves.