I don't know if Corkscrew is still relevant, but if you're maintaining a list, it might have a place there. I forget exactly why, but I used it some years ago.
I worked for an organisation that decided to stop outbound SSH for reasons that weren't adequately well explained, exceptions were painful to get re-applied, so most people just cranked up corkscrew and did precisely this.
Only challenge is that getting corkscrew compiled on Windows is a massive pain.
At my last job we used corkscrew (https://github.com/bryanpkc/corkscrew) to tunnel ssh through HTTP proxies without needing the ssh server to use another port.
I guess if that work depends on how the proxy is set up.