Worth stepping back to the goal, because it decides whether this is worth doing at all.
If it is to avoid opening a second port, be clear the proxy does not avoid it — the entry point is still a listening port. You have moved which process listens.
If it is consistent configuration, that is a genuine reason and the TCP router is the right answer.
If it is to expose SSH to the internet safely, a proxy adds nothing to the security of it. Key-only authentication, no password login and a modern configuration are what matter, and none of them are the proxy's job.
If it is to reach it from outside without exposing anything, an overlay network is a better answer than either. No open port at all, and it works from anywhere.