Sear beef: Heat vegetable oil over high heat in a large cast iron skillet. Once smoking, add beef and sear on all sides until deeply browned, using tongs or two forks to rotate. Transfer beef to a lightly greased 6 qt. (or larger) slow cooker. Cook beef: Add all remaining "Slow Cooker Beef" ingredients to the slow cooker up to the onions (broth through thyme). Give them a stir, then add the onions on top. Cover and cook on low for 5 hours for a 3-pound roast and closer to 6 hours for a larger roast.
Slice beef and add veggies: Remove the roast to a cutting board and thinly slice across the grain. Place sliced meat back in the slow cooker. Add the bell peppers and mushrooms and give everything a stir, then press the meat/veggies down into the braising liquid. Cover and cook on LOW for 45 minutes. Meanwhile… Toast rolls: Preheat oven to 400 degrees F. Split rolls and lay them cut side up on two large baking sheets. Working in batches as needed, bake for 5 minutes to toast the buns. Assemble: Spread each top and bottom half of toasted hoagie rolls with Spiced Mayonnaise. Layer the bottom rolls with beef/veggies and top with 2 slices of folded provolone cheese. If using larger slices (like from Costco), use one slice per hoagie, cut in half to fit the bun.
Melt cheese: Return baking sheets to the oven (keep sandwiches open faced) and bake at 400 degrees F for 5-10 minutes or until cheese is completely melted. Serve immediately. You may serve the remaining liquid as a dip for the sandwiches, if desired.