Preheat oven to 450°F. Line a baking sheet with foil.
Peel and devein the shrimp, if needed
In a large bowl, toss the shrimp with the flour and the salt.
Combine the butter and the hot sauce in a small pot and melt together.
Pour the oil into a large, deep-sided skillet, until it reaches an inch up the sides. Heat until shimmering, then carefully add the shrimp. Cook in batches if needed, so as not to crowd the pan. Fry for about 3-4 minutes total, flipping halfway through, until golden and the deveined edges start to curl.
Line a plate with paper towels, then use tongs to take the shrimp out of the oil and place on the paper towels to drain the excess oil. Transfer the shrimp to a large bowl, and toss with the melted hot sauce/butter mixture.
Use the tongs to place the shrimp on the foil-lined baking sheet, then place in the oven and bake for 3-5 minutes until golden and bubbling.
Serve with blue cheese dressing and celery sticks.