Toxic Garbage Island
The garbage patch is located at one of the most remote points on earth. It takes a solid week of sailing just to get there.
You lose sight of land the first day, then you stop seeing other ships, then you stop seeing anything at all except for endless waves and occasionally a seabird, which, after days of nothing but water, becomes as exciting as spotting a UFO.
Right at the point where you've come up with a separate song for every bird in the ship's guidebook and have begun integrating them into a full seabird opera, you start seeing the trash.