I think I see what you want to do now. I haven't done anything with server side events before but it looks pretty interesting.
Really, you don't want to trigger a snippet from the front end at all as that would defeat the whole purpose. That would require a page refresh or ajax call.
I take it you already have a php script that is generating the content being pushed to your browser. I'm not sure how you are triggering this (I'm interested!), but provided you have an instance of MODx in that script already you can run any snippet your like and send the output using
$modx->runSnippet.
(you can remove [solved] by editing the title of your first post)