Give the admin the option set one of the fields the API doesn't yet transmit from live DJs to use them as a show name. Optionally show that name on the public page, and so on.
See screenshot for visual aid. The " | Show Name" part next to the title is my current workaround, but would be great to have an integrated feature for this.
Edit: Same would be neat for album art, giving the DJs the option the have a show logo.