Use a file host like Google drive, one drive or any of those.
Or upload it to Youtube but set the video as unlisted - you'll be able to embed it, but people can't find it through search so it'll last longer. If you crop the video slightly or pitch up the audio a bit, it'll evade Youtube's copyright system as well.
Or look up free cloud hosts - there's tons out there, but don't go with the big ones - look at the lesser name ones that are on page 2 or 3. Most will look the other way if you pay for a paid account and happen to embed it or use their API to pull the link and show to users.