Hello,
You project were very clear, but I have some questions:
1) "The general template would require the base site address, and the starting integer. Both numbers defined by the user. For instance:
http://(sitenamehere)/cart/(integer here):1", is this going to be just one site to test?
2) "I would like to software to perform these checks as quickly as possible, looking to check about 800k-1 million product pages per day.", this will generally need a very high speed connection, like the VPS or a dedicated server has, so are you open for that?