You can snack on anything that fits inside your carb level for the day. I love pepperoni chips (put on a paper towel and nuke until crisp), celery and cream cheese, especially the flavoured ones or Rondelé or Boursin...yum!
Sliced cucumbers, radishes, nuts, the wonderful Mock Danish you'll find in the recipe section...just go Search.
Olives, mushrooms, bell pepper strips, scallions, fresh mozzarella cheese marinated in olive oil and Mediterranean herbs, green beans plain or pickled, salami.
Ham rolls w/ cheese, dill pickles and macadamia nuts inside, tuna or chicken salad, avocados, artichokes, either whole or the hearts out of a can, just whatever you like. Just be sure you are not going over the carb limit you are following.
The kids will go w/ you on this, trust me! They will love to eat "Mommy's grown-up food" and will brag about it to their friends. It's all in the presentation!