Wow, there’s a much simpler answer. A night’s sleep revealed it to me–it’s almost like my brain works better when not sleep-deprived.
First page of the course, ask which job category. Store the result in a variable. Use that to select branches going forward through the course. If the student needs to try a different branch, they can go back to the beginning (using the TOC) and pick the other one. Don’t even bother with the LMS.