It is good that you don't want your IP to be shown because people can use it against you.
But unfortunately, you can't really hide your IP. It's basically the same idea as your house address, you can't invite people over without telling them your address. When Minecraft connects to play.hypixel.net, it gets redirected to the actual address, which people can easily see if they want to.
You could try using a VPN or rent a server. You can get hosts as cheap as <5$/month