[mothered]

wouldn`t the carrier see the smoke coming from the box?

Not when It's enclosed In the box.

An open container, particularly with warm air, Increases sublimation and exposes a greater amount of carbon dioxide gas.

And wouldn`t he be able to sense that there are things moving in the package, like they are not secured in a box or something and this might raise suspicions?

Unless he reads the description on the manifest, the driver doesn't know the exact contents of the box.

If you're concerned about that, simply secure the dry Ice.