Then you can’t “hide” your server IP without a VPS/VPN set up. Maybe I’m not understanding what you’re asking? Your public IP is visible to any machine you connect to and that includes Cloudflare’s servers.

Are you worried about copyright or something? This isn’t legal advice, but I doubt they give a shit unless you’re hosting content illegally for a large number of people. Obviously, only take the risk if you are comfortable with the potential consequences where you live.