Redirect Solution. I hope this is possible??

I manage a YouTube channel for a client with an associate website so I can put Annotations inside every video, but this client has several websites in Asia and America and I want put a redirect link in the Annotation to all the other websites. The problem is that I'm not allowed to use his webserver so my question is, if it's possible to make an annotation with an html file. The html file must send me to my server so I can put on my server anothter HTMl file with an Redirect to all the other websites.
In the html file (inside the Annotation so domain/html file) must be an code that send the visitors to my server and they would be redirect to different pages.

Is this possible and HOW??

If revealing all the other domains isn't a problem, then you can have a javascript solution on the html page linked from the video:

Something along the lines of(pseudocode):

var urls = ["http://site1", "http://site2","http://site3"]
varl url = get_random(urls)
location.href = url


Problem is people can do ctrl+u and view the site list.

Thanks for your reply bartosimpsonio. So it's possible to send the visitors of the video with the annotation to my webserver without a webserver of my client?
I have no expertise with technical html, so can you make an html file for me with the good code so I can test it out please?