This sounds like a simple task that I should be able to excel at.
I can create a bot that does the following:
Navigates to the site and then navigates to the relevant videos
Changes IP using private proxies.
Changes browser string (Chrome, IE, FF etc)
Changes cookies
Passes captcha
If you are concerned about your resources (memory, bandwidth etc) then I can show you how to connect to a VPS (a server that is on all the time from where your bot can be run).