A BSD might suit your purposes better. A friend of mine is running a P233MMX/128MB RAM, running all you've said and more without any problems.
If he's ok with it, and you would like a bit of help with it, he might be able to help you out.
Btw, there is openssh for NT4. Can't remember if I ever got it working, or whether it's any use at all, but anyway :-)
Btw [2] I'm not a BSD advocate :-) I've used it for longer than any Linux distro I've tried, and certain things are much easier to accomplish on it, but other things, like my failed attempt to get the nvidia FreeBSD driver working on it turned me off it :-)