Preheat oven to 425ºF.
Working lengthwise, slice off the top quarter of each jalapeño. Using a small spoon or paring knife, scrape the seeds and ribs out of each jalapeño.
Place a small saucepot over low heat. Add hot sauce and whisk in the butter until melted. In a medium size bowl, combine the pulled chicken, celery, Monterey Jack cheese and half of the blue cheese.
Scoop some of the chicken mixture into each of the peppers, filling them all up. Lightly mound the chicken into each pepper. Place the peppers in a baking dish and top with the remaining blue cheese.
Bake the peppers until tender and heated through, about 15 minutes. Serve warm.