This is how I season my Chili, and no added carbs for the chili seasoning packet.

For 2 to 2.5 lbs of meat, I use:

Add chopped onion & 2 or 3 cloves minced garlic when browning the meat.
Then add:

3 Tablespoons chili powder
1 Tablespoon oregano
1 Tablespoon cumin
1 teaspoon paprika
1 teaspoon ground mustard (powder)
1/8 to 1/4 teaspoon cayenne pepper (powder) (optional) and be careful, it's very spicy and a little goes a long way
1 teaspoon salt
1 small can tomato paste (instead of tomato sauce)

Since you are using paste instead of sauce, I add a little water, but how much will depend on how long you can let you chili simmer (so the water can evaporate). The paste helps to make the chili thicker without corn starch or other additives, since you control how much liquid to add.

This is a very good Chili recipe by itself. I am from Texas, and we top off a bowl of chili with chopped onions (or green onions) and some freshly grated Cheddar cheese. You can also add a dollop of sour cream.

I can't wait to try this chili dog recipe. Sounds great!