FWIW, this is so much easier on the command-line. putty installs a tool called plink, but I'd just go with
Gow which bundles PuTTY among other things, and also installs itself to the PATH. It has an alias for "ssh" which lets you run ssh just like on Linux.
...Except of course that all configuration to save settings still needs to be done via a GUI...
I've been really impressed with Gow thus far, it was
originally suggested to me by MR user @DMcCunney and really adds power to the Windows command-line. (Assuming for argument's sake that I am forced to use Windows to begin with.
)