@JohnVogel ...
It sounds like cross-listing these courses together might be a good solution. Normally, cross-listing should be done before the courses begin...so as to not cause headaches down the road. Cross-listing can move enrollments from one course into another, and you can identify which sections the students are in by looking at your "People" page. So, you could cross-list your CE course into your credit version...and all students from both courses would access content through the credit version of the course (you and the CE student would also access the course through the credit version).
You may not be able to cross-list courses on your own. You may have to ask your school's local Canvas administrator or someone from their Online Learning / eLearning / Distance Learning team to help you with this. But, the instructions to do this are located at:
When cross-listing, you want to be first logged in to the CE course. Then, follow the steps in the Guide and select the credit course. Once the cross-list is complete, log into the credit course, and you should see enrollments from both courses in there.
Be aware that cross-listing only moves enrollments...it does not move course content.
Sing out if you have other questions about this. Good luck!