Preheat your Oklahoma Joe's Bronco Drum Smoker to 275-300F for indirect cooking. Add a dutch oven to the smoker to heat up for 2-3 minutes.
Once the dutch oven is warm, add your chicken breast, buffalo sauce, chicken broth, salt, pepper and garlic to the pot. Cover the dutch oven and close the lid on the Smoker.
Staying at 275-300F continuously, cook your chicken until it becomes easily shreddable (about 3-4 hours).
When the chicken is done, pull it off and let it cool for 5 minutes, then using some forks or your hands shred the chicken in the buffalo braising sauce.
While keeping the rolls together, slice your Sweet Roll Sliders in half so there is a top side and bottom side.
Add the bottom side into a foil bin or cooking safe skillet.
Add a layer of monterey jack cheese to the rolls, top that with your shredded buffalo chicken, finish with another layer of cheese and the top part of the buns.
In a bowl, melt some butter and mix with the garlic paste and parmesan cheese. Gently spread the melted butter over the top of the rolls.
Kick up the heat in your smoker to 350-375F, and add your sliders in the foil bin on to the smoker to cook until they are golden brown & crispy (about 10-12 minutes).
Once done, pull the sliders off and let cool for 2-3 minutes.
Slice your sliders apart, serve with ranch or blue cheese and enjoy!