Can I provide a shortcut menu without the admin menu?

I am setting up roles and I want to severely limit permissions for a data entry role. I want them to use a custom shortcut menu to perform their very limited task of entering data for one content type. In Permissions for this role I have enabled "Use Shortcuts", but unless I also check "Use the administration toolbar" the shortcut menu is not seen. When I enable "Use the administration toolbar" the role sees "Manage" in addition to Shortcuts and their user account. The problem is Manage gives them the ability to "Run database updates". Isn't there a way to hide the Admin menu and only show the shortcut menu and user account? Or alternatively, is there a way to prevent them from being able to "Run database updates"?