Place Salt, pepper,brown sugar, paprika, garlic, vinegar, and cayenne pepper in a food processor and pulse until well combined. Add extra-virgin olive oil until you have a nice paste. Rub all over the pork, make sure you coat even the nooks. Place the coated pork in a zip lock bag or cover with plastic wrap and marinate in the refrigerator for at least 3 hours or up to over night.
Heat roaster oven at 225 degrees for 15 minutes -place pork in roaster over and set timer for 8 - 12 hours. Let cool for a couple hours still in the pan. Shred the pork put on bread of your choice add Barbecue sauce and your favorit coleslaw recipe.