Put the option to post to the Xbox Feed when you start a broadcast. This way your Live followers would know when you are broadcasting and could already click and watch.
Related Suggestion: If an account is bound to the Xbox, perhaps you can have a "canned response" for going live? Similar to the other options such as "follower" and "sub". Perhaps those settings can be set to auto populate a club/feed of your choosing, presuming you can post in that channel to begin with.