Not cotton, but Duluth Trading "Everyday Work" crew socks are excellent - durable, elastic doesn't rip out of the top, no holes after two years. I do the laundry and they wash and dry very well.
DH is extremely picky. I have tried all kinds with him and he raves about them. Item #70706.
He likes the lightweight version but there is a heavier work crew sock in the same fabric (item #39027), and they do offer a cotton blend (50% organic cotton - item # 62202).
Not exactly what you were looking for, but food for thought if you're comparing what's in the marketplace. As I said, my DH is infuriatingly picky about socks; he hoards these. Duluth quality is generally excellent and work tested. Buy online, or there may be a store in your area. There is one here. Ship to store is free.
Cogito ergo sum