There are few options you can choose from to manage file access to your Storage.
Custom/Enterprise plans: May be configured so that only the necessary files for the meetings will be accessible instead of all the files on Storage.
Regular plan: You can use Sub-accounts for storage management where you share selected files or folders to the selected Sub-accounts. You can also have Presenter’s access selected Storage files auto loaded in the rooms so they can present these files but not manage them in Storage.