Multiple image field add field to each image

I'm using a multiple file upload to create a front-end managed user photo albums. Each album is an entry that uses wp native gallery shortcode to produce a gallery of attached images. I'd like to be able to allow user to hide certain images but not allow them to delete them, but the front end "edit entry" page shows only a "Remove" link with each image, which deletes it.

Is there are way to add a checkmark next to each image in edit page, that would allow for this functionality? (I'd imagine that this would allow me to filter front end view by a checkmarked field in some way...)

Any suggestions?