Darn Tough makes good cycling socks. Ya just gotta go to the source. A lot of Darn Toughs models don’t show up in stores: they make too many.
On the DT site, look for this:
Men's Run Quarter Ultra-Lightweight Running Sock
Its wool, available in white, and is what I consider a traditional height.
https://darntough.com/collections/he...37874239963322