Comment by TruePath

What is the usecase for using ssh at all where you don't need to be resistant against timing analysis? Either it's not sensitive and you can use telnet (if necessary after using ssh to authenticate) or the game (or other stuff on the connection) might be sensitive and you need traffic analysis resistance.

If you get clever and write a client to ensure sensitive data like passwords or email are sent in a burst you could just use an encryption library just for that data instead.