Chop the onions, carrots, and mince the garlic and set it aside.
Heat about a tablespoon of extra-virgin olive oil in a stock pot or a Dutch oven over medium heat. When it's hot, add the onions and 1/2 cup of carrots and saute for about 5 minutes or until the onions are tender and translucent. Add the garlic and saute it for about 1 more minute, stirring constantly.
As vegetables are cooking, in a shallow dish, whisk together 1/4 cup flour, 1/2 teaspoon coarsely ground black pepper, 1/2 teaspoon kosher salt. Toss the beef in the flour and toss until it's all coated. Set aside.
Remove all vegetables from the pan and set aside. Place them in a dish that's larger than you need since you will also add the cooked meat to this same dish.
Add another tablespoon of olive oil to the pot. Add beef to pot (do this step in 2 batches to avoid overcrowding) and sear until golden on all sides, about 5 minutes. Remove beef from pan and add to vegetables.
Pour the wine (or juice/vinegar mixture) into the pan and allow it to deglaze the pan (loosen up the cooked bits on the bottom of the pan). Scrape it regularly for about 5 minutes or until the liquid is reduced by about 2/3.
Return the meat and onion mixture to the pan. Add the undrained canned tomatoes, broth, water, oregano, thyme, bay leaf, mushrooms and remaining carrots.
Bring it to a boil and then cover the stew and reduce the heat to a steady simmer for about 1 1/2-2 hours or until the beef is tender.
Discard the bay leaf and then add chopped parsley and basil and season with additional salt to taste. Serve it with crusty bread or over mashed potatoes. Makes about 8 main dish servings.
Freezer Instructions: Prepare through deglazing the pan. Place all of the ingredients except for the water, fresh basil, and fresh parsley into a freezer bag or freezer safe container and freeze. Freeze the herbs separately in a small freezer safe bag. When ready to serve, place the contents of the large freezer bag and 1/2 cup of water into a slow cooker and cook on high for 6- 8 hours or on low for 8-10 hours. 1 hour before serving, add fresh herbs.