Before doing the system wipe, what I would do is make a copy of the folder that CCC is pointing to that contains your Program installation files (maybe on to an external drive).
Then after the system wipe, installation of windows, it's updates and your hardware drivers, copy the above folder from the external drive to a folder on your new installation. Then after installing CCC, change the download path setting to match the folder location where your Program installation files reside.
Then you can do the installation via CCC. As the Program installation files are already present on your system (and CCC knows their location), the installation will not include the download time. Of course, The initial install will be of 2016.12 (or 2017.1 if you wait a bit). However, the option to roll back will remain completely intact.