Make my view the default for content type
Your main concern is you don't want the /node/123 link to be available publicly or in search results?  You could unpublish the node and then make a Boolean field in your content type and for your view choose to show the piece of content based on your new boolean field INSTEAD Of the stock published/unpublished checkbox.  So your view by default will only show "published" content but you can change that so that it shows "live" content (new boolean field you created for that content type)  or like that and ignores the published/unpublished field.  So node/123 won't show up for anonymous users or in search results but will still be processed by your view.  Assign the view to the path of your choice /contact-page or whatever and you're golden.