Well... I think I figured it out, sort of. I checked out Silver's tutorial for 2 socks on 1 circ, and in that one there is no double wrapping. So I followed that tutorial and did ok.
The confusing part was twofold: first, I could not figure out how to correctly pick up the wraps on the knit side. I finally realized that she is picking up the wrap, putting it on the needle, and K2TBL, not K2TOG. At least, I think that is right. That's what I did and it seems to have come out ok.
Also, when going to pick up the wraps, I realized I was mistaking my K2TBL or P2TOG stitch when I returned to it for a wrapped stitch. It did look like it had a necklace!! So that's why I couldn't get beyond stitch 8.
I do have some gaps in the heel turn where maybe picking up the extra wraps would have helped. Now that I am more confident, maybe I will go back and try that on my NEXT pair of socks.