Write some Software - Custom URL rotator -- 2

I need to run all traffic through a script and no matter where they come from, they will appear to be referred from twitter. I currently have a script that will rotate links so that every visitor that visits this url will be sent through a different link such as https:// t. co/C4pkhjcCAY, then https:// t. co/f52mylljjE etc. My current script works great, the only hang up is that I need 100% of all traffic to appear in analytics with these unique http:// t. co links. 50% usually are blank referred or direct visitors. I need 100% of visitors to appear to come from the twitters https links, for example: visitor 1 shows coming from https:// t. co/C4pkhjcCAY visitor 2 shows coming from https:// t. co/f52mylljjE visitor 3 shots coming from https:// t. co/RQK3qywBrx All visitors will show up in analytics from a link. Zero percent will show up as coming from direct or blanked referer. I am capable of getting endless twitter links for urls, such as http://t. co/asdfASFDa so thats not your job. Your job is to make ALL visitors appear in analytics to have come from one of the https:// t. co/xxxxx links. IMPORTANT: If you are sure that this task is NOT POSSIBLE but you can do anything that will look similar (mixed refs from social media sources and maybe some directs.) then go for it. We won't award you the project before you MAKE SURE 100% that this is possible and you can do that!! ONLY SERIOUS BIDS PLEASE