Wrap bacon around the edges of the pork and secure with a wooden toothpick.
Mix together barbecue sauce and beer.
Prepare a grill to medium-high heat (about 450 degrees F.). Grill chops over direct heat until the internal temperature reaches between 145 degrees F. (medium rare) and 160 degrees F. (medium), on a meat thermometer, 4 to 5 minutes per side. Brush sauce on the chops the last 5 minutes of cooking time.
Remove chops from the grill and let rest for 3 minutes.