Hmm. Non-stretchy cotton for socks seems like it would be really prone to sagging. I can find some toe-up socks designed for Fixation, but that's certainly stretchy. Do you have a cotton sock yarn you like?

I always like things like this (http://www.ravelry.com/patterns/library/frosted-ferns-7633) for doilies, but I'm not sure about the whole "nothing is right" part. :)