Place pork in a round 10-inch roasting pan. Pour root beer over pork.
Place in Bravo and set to bake at 300°F for 3 hrs. Cook until pork shreds easily with two forks.
Remove pork. Shred meat using two forks.
Return shredded pork to round roasting pan and stir in barbecue sauce. Continue cooking at 300°F for an additional 15 min. Serve on hamburger buns with coleslaw on the side.