I think it would be almost impossible to eliminate the random noises of the ocean.
You could re-say your vowels as a voice-over, or.... You could discard the camera's audio altogether and use a music track, then add captions. Make it a music video. A nice slow jazz instrumental or classical.
I like this approach for my home videos. Most of the time, no one says anything witty when the camera is on anyways, so it's all garbage. I just replace it with music. Of course, I'm not saying that about your wedding vowels, but if the audio track has too much noise, you might consider more creative options. And something unique and unexpected might be better received if it were to be a gift.
Just some ideas....