Combine marinade ingredients in a large dish. Massage into pork rounds, cover and refrigerate for at least 4 hours.
Using a rotisserie spear, place the bottom 1/3 of pineapple, skin side facing down, on the spear pushing down to the end of spear. layer marinated pork slices onto spear, finish with the top 1/3 of pineapple, skin side facing up.
Grill with indirect heat, cooking slowly and rotating until charred and cooked through. If you don't have a vertical rotisserie, place in a cast iron pan, upright, and manually rotate every so often while it cooks. I like to remove the grill of my BBQ and place cast iron directly in the bottom with the coals to one side.
When fully cooked through, about 2 1/2 to 3 hours later, remove from grill. Remove pineapple bottoms/tops and cut cooked pineapple to serve with meat. Standing upright, shave off pieces of meat for tacos.
Top with radish, cilantro, Cotija cheese, serve with lime wedges. If you want to reheat for later, just place chopped pineapple and shaved meat in a cast iron pan with a little lard over high heat until warm.