Would you be able to ask your district Canvas admin to provide you with a Sandbox course in the meantime? A Sandbox course is the ability to have a course that you can test and play with. This way, you would have access to Google Drive.
Also, you should be able to install Google Drive with a free teacher account. Please go into your course settings using your Course Navigation menu. Next, click on the "Apps" tab. Do a search for Google. Click on "Google Apps" when it appears and then "Add app." That should add the app to your course. Please let me know what happens and if you are successful.

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