Preheat a gas grill to medium heat (300 degrees F). Leave one side of the grill off for indirect heat.
Separate the ground chuck into 4 equal balls (about 6 ounces each). Wrap the beer can with aluminum foil and spray with a bit of cooking spray. Firmly press the bottom of the can into one of the balls, forming a "meat bowl." Gently slide out the can, then seal any cracks in the meat and make sure the sides of the bowl are even. Repeat with the remaining balls.
Place a slice of Cheddar in each meat bowl, followed by about a tablespoon of barbecue sauce, 1/4 cup of the sauteed mushrooms, some of the crispy crumbled bacon, 2 more slices of cheese and 4 jalapeno slices.
Place the burgers on the indirect heat side of the grill, close the lid and grill until the meat reaches an internal temperature of 140 degrees F and the cheese is bubbly and gooey, 20 to 30 minutes.
Place the burgers on the onion rolls, eat and enjoy!