That plugin does exactly what you want. See back-end and front-end screenshots – https://wordpress.org/plugins/genesis-custom-headers/screenshots/
Ideally for such implementation one would need custom box (which involves lot of code and above plugin does that) or you can add one widget under the header and control what to display on each page via widget logic plugin. That can be difficult to manage if you are planning to add that functionality on lot of pages.