*LOW* liner socks

you could try The Drymax Hyper Thin Running socks might work, I don’t wear liner socks I just wear these as my only sock and love them, they make all kinds of short thin performance socks but these are their thinnest and lightest ( 10 grams in size large )and dry quickly.

Feetures Ultra Light, maybe?

“Rolling them down doesn't work well,…”

I’ve had success in rolling them down ‘farther’. I.e., so far that the top of the sock is now rolled down and under the heel. Thus there are two layers of sock under the heel and it adds a little more plush to your stride. The trick is rolling down to the right length:
1. If it rolls too far the sock top will be smack in the middle of the arch and that hurts; then it needs to be adjusted ±1/4”
2. Or if it’s too far, the back of the foot will be exposed — inviting blisters.

May everyone find their foot zen.
-Barry
-The mountains were made for Tevas

http://www.sockcompany.com/wrwalaso.html

They make some pretty cool, light two-layer socks. I use the low merino crew socks and love them. Price is right, too. Theys elol them at REI and amazon.com.
HYOH YMMV ETC.

I've been using Injinji socks as liner socks for a couple years now. They're toe socks, which I initially balked at, but love them now. Kind of on the expensive side, at least for me.

I've been wearing Wigwam Triathlete quarter socks as my liner socks for a few years. They make a low height as well that I've not tried yet. They also come in black if that helps with the 'look'. I really like the seamless toe.
http://shop.wigwam.com/p-2390-wigwam-ironman-triathlete-pro-low-cut.aspx

Looks like some really good suggestions here, thanks everyone. Will be exploring these leads…