This is the bread and butter for commercial VPN services. The VPN knows who you are (maybe, unless you pay crypto/cash), and the rights-holders know your VPN address (from joining/logging a BitTorrent swarm, for instance), but the better providers keep no logs, and I'm guessing there's too many individuals to target effectively.

I've received a nasty letter from the ISP over BitTorrent (someone's phone joined my wifi, torrenting without my knowledge), but using a VPN seems sufficient. I think the Hetzener suggestion is a VPS for running the software stack. You could alternatively self host on hardware in your home.