Hey SarahO -
I still am very hungry between meals too but I think thats ok since I eat lc appropriate and I get full. For me I think it's more of a pavlovian response.

Fat ideas:

-Salad dressings on salads or with veggies to dip in
-celery with cream cheese and salt
-veggies with melted butter
-homemade with mayo egg salad, tuna salad - shrimp salad
-blend some crushed ice, water, vanilla extract, splenda and heavy cream for a shake
-Make a cream sauce for your chicken or fish using heavy cream, garlic, parmesan cheese and cream cheese
-Pepperoni chips with 1 melted mozzerella string cheese on it

Just a couple of my favorites.