Shipping Paradox

All of my items include shipping in the cost. As such, I want to disable the shipping line item from the check out page. Easy enough, I can disable that, but when I do, it removes the option of entering a separate shipping address from the billing address on the check out page. I still want the option to setup a different shipping address as sometimes they are different. Is this possible?

I know the option exists to enter a shipping rate of $0, but that is confusing as it says shipping is free but they will see in each item that shipping is being charged at the product line item level.