A LibreTime radio station sounds like a great idea, but probably would be in addition to a demo site? With regards to hosting, it looks like DigitalOcean provides server resources for similar OSS projects like AzuraCast https://www.azuracast.com/about/#friends-of-azuracast
Might be worth seeing if they’d sponsor LibreTime?
Either way, we should be able use https://opencollective.com/libretime to offset any hosting cost. Especially if LibreTime radio provides opportunities to credit sponsors and backers!