Transfer Course from one laptop to a "SECURE" government laptop

One thing that might work, though it would be a pain.  Break the course in to multiple scenes and email them to your secure email account.

Break the course into separate scenes.
Cut anything not needed for that scene.  Delete all screen recordings you aren't using, all templates not used in the scene etc.
You may need to save each scene multiple times to get the file size down.

Email to your account. 
Reassemble your course again on the secure device.