ALB as reverse proxy with home server as target

I am trying to use a ALB as a reverse proxy to send traffic to my home server,

I got an API Gateway to do this but then realised API Gateway only supports HTTP/HTTPS whereas I am also using socket.io which makes use of web sockets and extra packet data.

I can't seem to find a proxy option in the API Gateway web sockets flavour.

So I thought that an ALB as a proxy would resolve this issue, but I can't seem to set the target IP in a target group as anything outside of a VPC and I want to set it as my home address.