One option is offloading the bandwidth requirements to a S3 provider. You could run your server from home and keep your local outbound requirements low, you'd just be handing off the video to somebody who can handle it. Depending on your scale many S3 providers can be pretty cheap.
I know of one person who does this specific setup and it's been working great for him!
I noticed that as an option once I started looking closer. That's pretty nice! Just gotta be careful to estimate and monitor costs but depending on the use case it could make a very compelling option.
I know of one person who does this specific setup and it's been working great for him!