You could host the multimedia files on your own website, which would let you move your domain and/or provider to an amenable ISP whenever needed while retaining the same URLs for your visitors. There are ISPs such as Dreamhost.com that will host email and websites and their accompanying data files at reasonable costs with lots of bandwidth should your show become popular. I don't work for them but I've worked with their hosting and found it to be reasonable.
You could host files on archive.org (the Internet Archive) for no fee which will deliver files to all comers also gratis. I'm not aware of IA discriminating against people doing what you're doing.
You could consider delivering pointers to your shows delivered cooperatively via BitTorrent with magnet URLs posted to popular BitTorrent-based sharing sites so the public can keep your shows downloadable even if you find hosting hard to come by.
You could combine these ideas, they're not mutually exclusive. And I hope you'll consider distributing your multimedia in formats that favor free software such as WebM. Finally, be wary of any provider's changing terms of service should you start talking about something they someday consider important. Commercial organizations and nations don't have permanent friends, they have interests which change.