Marinate the Chicken:
In a bowl or zip-top bag, combine pineapple juice and soy sauce. Add the chicken breasts, making sure they're fully coated. Marinate in the refrigerator for at least 1 hour, or up to 8 hours for deeper flavor.
Preheat the Grill:
Heat your grill to medium-high.
Grill the Chicken:
Remove chicken from marinade and grill for about 5–7 minutes per side, or until internal temperature reaches 165°F (74°C). When nearly done, top each breast with 1 tablespoon of butter and allow it to melt over the chicken.
Cook the Bacon:
While the chicken grills, cook the bacon in a skillet until crispy. Drain on paper towels.
Assemble and Bake:
Preheat oven to 375°F (190°C).
Transfer grilled chicken to an oven-safe dish (such as a pie dish). Top each breast with 2 strips of bacon, a generous handful of Monterey Jack cheese, and a spoonful of green chiles.
Melt and Serve:
Place in the oven for about 5–10 minutes, or until cheese is melted and bubbly. Serve hot.