For every Commerce product there is a field you can fill, which will be visible to the customers in client area. You could use that to give the link to the stream.
However, people might struggle to find that without further instructions.
If the events aren’t too frequent, I second Paul’s suggestion that you could use temporary member group promotions. If your paying customers are in special secondary group, you can show them blocks, pages, menu entries and so on. You could probably design an entire streaming page just for this member group, which sounds like a good(-looking) solution.