Prepare turkey drumsticks by grilling and using indirect heat for 35-45 minutes brushing with chicken stock every so often to keep drumsticks moist.
While drumsticks are grilling, prepare BBQ sauce. Add peeled and chopped apples to food processor and pulse a few times to break them down. Add one cup of apple cider vinegar and then pulse for about 30-45 seconds until thin-ish, about the consistency of apple sauce.
Add apple mixture to a medium size pot and turn to medium heat. Add brown sugar, ketchup, cayenne powder, red pepper flakes, salt, and black pepper and another two cups of apple cider vinegar. Stir to combine.
Bring to a boil, then simmer for about 10-15 minutes. Remove from heat and cool to room temperature while turkey finishes grilling.
Once turkey is ready, remove from grill and let cool for a few minutes. Once they are cool, remove the meat and set on a cutting board. Chop meat into bite size chunks and add to a mixing bowl.
One cup at a time, pour BBQ sauce over chopped turkey, using tongs to fully coat. Reserve a bit of the sauce for dunking.
Add chopped and sauced turkey to bun and add cheese (melt it too!) and jalapeños, if desired. Careful because the bottom bun can get soggy from the sauce quickly, so eat up!
