Hi Brett,
There is two type of security you can add to fulfill your requirement.
1. Make the document PDF/A-1b compliant. You can find a checkbox in the scan settings. This will keep the PDF editing disabled by default. Although anyone can edit the file by removing the compliance you will know if the file was edited by confirming the PDF/A compliance.
2. Make the document password protect. After PDF is scanned, add password protection security to the document. You can learn more about this here: https://helpx.adobe.com/acrobat/using/securing-pdfs-passwords.html
The best option is to create an action from Action Wizard and run the action by including files from the scanner.
To know more about Action Wizard, kindly check the following link: https://helpx.adobe.com/in/acrobat/using/action-wizard-acrobat-pro.html
Please try this and revert back here for any doubts.
Regards,
Mohit Kumar