For the Canvas side of things, you export an entire course, but then you can select specific content to import, so it's on the import side that you would limit it, not the export side. I have no experience using Blackboard, but the Blackboard Import Course Packages that I linked to in the first response shows an option to select course materials.
What I do not know, and cannot test, is whether it allows you to be specific about which content to import. It may be safer to export just those 14 items rather than the whole course.
Canvas doesn't support exporting selected content, but there is a work-around.
Create a sandbox course to contain just those 14 items. Then you import that module of content from your main course into the sandbox course. How do I copy a Canvas course into a new course shell? You can also import content from a course into another if you already have a sandbox. How do I copy content from another Canvas course using the Course Import tool? Both of those allow you to select the content to import.
If you cannot create a course, then you log into your school's beta instance of Canvas and delete all of the content in the course except for those 14 items. The beta instance resets every Saturday with a copy of the production instance, so it's a temporary thing without lasting crud build up.
To keep the main instance of Canvas clean, I would do either of those in the beta instance of Canvas. If you created the quizzes this week, then they won't be into the beta instance until Sunday, so I might wait. It doesn't sound like this is an immediate need in the next three days.
You can't copy from the production instance into the beta instance (you can export from production and import into beta or vice versa), but the beta instance gets reset and doesn't leave an orphaned course out there showing up in your course list. How do I access the Canvas beta environment as an instructor?
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