In a bowl, combine the softened cream cheese, freshly grated cheddar cheese, all-purpose seasoning, garlic powder, and finely chopped fresh chives, stirring until smooth and well incorporated. While the cheese mixture sets, prepare your other ingredients: seed the jalapeños and slice them into strips, and have the hot pepper jelly ready for plating. This prep work ensures everything is ready to cook when you need it.
Wrap each beef frank with 1.5 slices of bacon, overlapping slightly to ensure full coverage and securing the bacon ends as you wrap. Place the wrapped hot dogs on a preheated griddle or large skillet over medium-high heat with the bacon ends down, then rotate every 2-3 minutes until the bacon is crispy and cooked on all sides (about 8-10 minutes total). I like to keep the heat at a steady medium-high rather than high so the bacon renders properly without burning before the inside cooks.
While the hot dogs are finishing, heat a separate pan or griddle section over medium-high heat and cook the jalapeño strips until they're soft with light charring on the edges (about 4-5 minutes). This brings out their sweetness and creates a slight smokiness that complements the cheese filling beautifully.
On the same griddle where the hot dogs are finishing, place the brioche buns face-down and toast them until golden brown and lightly crispy (about 1-2 minutes). Remove the buns immediately so they don't over-toast and lose their soft, pillowy texture inside.
Spread a generous portion of the cheese mixture from Step 1 on the inside of each toasted bun. Arrange 4 strips of the charred jalapeños from Step 3 on each bun, then place a bacon-wrapped hot dog from Step 2 on top. I find it's worth taking a moment to nestle the jalapeños nicely around the hot dog—presentation matters here.
Drizzle about 1 tablespoon of hot pepper jelly over the top of each assembled hot dog, allowing some to pool on the cheese and jalapeños. Serve immediately while everything is still warm and the cheese is soft enough to be creamy.