Set up your link structure like that: domain/watch/nameofseries/episodenumber or something similiar.
Publish all updates in that format. Benefit is that while you're root domain is gaining authority, you'll receive relevant IBLs to your fresh posts which should help them in terms of ranking.
Include some gadget that shows your recent posts on the homepage to make sure they are crawled frequently. As soon as you publish a new post, update your twitter with the URL to the new post (include hashtags, I've tested both including and not and including showed way better results) and in addition to linkjuice / indexing help you'll gain natural, targetted traffic.
Beside the linkstructure I mentioned, create subpages for each show in which you list the pages to each episode again. Think about how a real user would feel confident on your site and make it as easy as possible to browse through.