Sears, Roebuck and Company solved this problem quite handily.
They made and sold socks (in black only) which had a snap near the top. You take them off, snap them together, and toss them into the hamper. After washing, you could unsnap them to fold for sock drawer storage; alternatively, you could just stuff them into the drawer and, in the morning, just pull on one end and out comes a pair.
Then some Vice President for the Annihilation of Good Ideas apparently became aware of this (sometime in 1999, I think) and discontinued them.
I was a loyal Sears customer because of their socks. I would go to buy socks and walk out with a shirt or two I didn't really need.
Now I use Akialyn's method, and have a drawer full of nothing but Dockers socks.