Season beef with salt and pepper. Brown in oil in two batches, 5 to 6 minutes each.
Add to a 6-quart slow cooker with onion, mushrooms, and garlic.
Whisk broth, mustard, Worcestershire, and thyme; pour into cooker.
Cover; cook on low for 6 1/2 to 7 hours until beef is tender.
Whisk cornstarch with cold water; stir into cooker. Cook on high about 10 minutes until gravy thickens.
Turn off cooker; wait until bubbling stops. Fold in sour cream until no white streaks remain.
Boil noodles according to package directions until tender; drain. Serve stroganoff over hot noodles.