I did the same thing at first. I had nuts on my "low carb" days, but soon I realized they were killing my total. Olive oil in the shakes is about as good as it gets as far as adding pure, good fats. I also keep omega-3 caps around and usually pop 8-10 a day, with each cap being 1g.
Wings, on the other hand, are AWESOME for low carb eating. Tons of flavor as long as you go with the hot sauces and avoid the sweet sauces. I like to load up on ranch too, although that also can add some carbs if you don't watch out.
Bodyweight- 231, currently cutting to under 220
Raw total- 1280
Equipped total- 1490
Best gym lifts, single ply-
Only goal- ELITE as soon as humanly (and chemically) possible.