Place Chuck Roast in Ziploc bag, pour marinate over top. Seal bag and place in refrigerator for 6 hours or overnight.
Prepare smoker to 325 degrees. Remove roast from bag and pat dry with paper towels.
Pre heat Dutch oven on stove w olive oil. Season both sides of roast with Famous Dave’s steak and burger seasoning and dredge each side in flour. Shake off excess flour.
Sear roast in Dutch oven till brown. Flip over and sear other side till brown. Remove from Dutch oven and set aside.
Add carrot and onion and sauté till brown and caramelized. Add garlic and cook for additional 1 minute. Stir in tomato paste and cook for 1 minute. Deglaze pan with red wine and balsamic vinegar. Reduce to about 2 Tbls. Scraping bottom of pan as you go.
Add Roast back to Dutch oven. Add chicken stock, beef stock, bay leaf and thyme. Bring to a boil.
Cover with lid. Place in smoker for 1 hour. Remove lid and smoke for additional 1 hour or until fork tender. Remove from smoker.