Chrome apps can have urls (for example, chrome-extension://omjghcmcgmlbelimhhcocpogolifaild/injected.js), and the Twitch API supports passing the oauth token directly to the page via the url hash. That should let you do what you need.
Chrome apps can have urls (for example, chrome-extension://omjghcmcgmlbelimhhcocpogolifaild/injected.js), and the Twitch API supports passing the oauth token directly to the page via the url hash. That should let you do what you need.