Smoke chuck roast according to your smokers instructions. On the pit barrel smoker a 3-4 pound chuck roast will take 2-3 hours. Cook to 160-165F and remove and bring inside.
Chop chuck roast into bite sized pieces.
Add chuck roast pieces to large pan, add 3 cups of water and cover. Cook chuck roast for 1 hour on medium to medium-low heat.
Chop mushrooms into quarters. Chop peppers up into strips. Slice onions up into strips.
After 1 hour of cooking remove lid and turn up heat to medium-high. Cook off excess moisture. Let meat sear for 5-10 minutes. To get a good sear work in batches and let meat brown. Remove meat and set aside covered.
Saute the mushrooms, peppers, and onions in the same pan as the meat to get all the good meat flavor. 5-10 minutes on medium-high heat should give the veggies a nice sear.
Plate the seared smoked chuck roast with all the veggies. Serve with warm tortillas, cilantro, limes, jalapenos, and sour cream. Enjoy!
Notes
The nutrition info is for one 6" flour tortilla with 3oz of the smoked chuck roast and a few veggies.