Help Creating An External Linking Product Category

Hi, right now, I am trying to set up a link to Teepublic in our store, the way I want to accomplish this is having the product category on the main store page,

https://www.manic-expression.com/shop/

link directly to Teepublic,

https://www.teepublic.com/user/manic_expression

Right now, as you can see, this is what it does(which it’s supposed to do),

Click on the product category, get taken to product category page, click on product, get taken to product page, click on image link located on product page, get taken to Teepublic.

Is there any way to accomplish what I am trying to do?