Get a domain name, point it to the machine that's running the node and the server. Then you can use tools like

GitHub

GitHub - niteshbalusu11/rustdress: Self hosted Lightning Address Server

Self hosted Lightning Address Server. Contribute to niteshbalusu11/rustdress development by creating an account on GitHub.

Or

GitHub

GitHub - Dolu89/ligess: Personal Lightning address server

Personal Lightning address server. Contribute to Dolu89/ligess development by creating an account on GitHub.

that run a lightning address server and talk to your node. You'll have to use something like Nginx and Certbot for tls certificates and you'll see a ton of tutorials on Google for setting up that.

Mode backend?

Mine is lnd only. ligess supports CLN and Eclair as well I think.

Never tried Caddy. Should try sometime.