Delivery method on cart > information page

I added a shipping profile but the option does not show up on the Cart>Information page. It only shows Ship and Pickup. I added an option for pickup at school. It does show on the next cart page, Cart>Information>shipping, but only if you chose “ship” on the Cart>information page. Is there a way to either add “Pickup at school” to the Cart>information page or totally remove the delivery method from the info page?