Rotating 3 different affiliate links through 1 landing page

I will be rotating 3 different affiliate links through 1 landing page. This will be for 1 product.
1 affiliate link will be used for 200 sign ups on the landing page, then the 2nd link will be used for the next 200 sign ups, then the 3rd link will be used for the next 200 sign ups. Then it will go back too using the first affiliate link.

The plan is to manually rotate the affiliate links, but automated rotating is ok too.

When someone comes to the landing page, there will be an offer to be able to download a free piece of software in exchange for their name and email address. When they submit their name and email address, they will be forwarded to the merchant's website where they can download the free software.

The landing page will only have 1 domain name. It's just the affiliate link within the landing page that needs to identify the affiliate as it forwards to the merchant page after name and email submit. And then as the affiliate link gets changed each time within the landing page, it needs to do the same thing.

Also... Can this all be done and use a wordpress blog for the landing page?

Thank You,

Michelle Mullen