When the bacon fat has risen to the top and frozen, skim it off. Strain the vodka through a coffee filter and set aside.
In a bowl, mix all of the ingredients well and refrigerate until ready to use.
Preheat the oven to 300 degrees.
Line a baking sheet with parchment paper and lay the bacon strips on the sheet in a single layer. Sprinkle the brown sugar over the bacon. Cover with parchment paper and another baking sheet to keep the bacon from curling up as it cooks. Place in the oven and cook until the bacon is browned and crisp, about 15-20 minutes. Remove from the oven and transfer to a wire rack to cool.
Combine the vodka and bloody mary mix in a mixing glass. Fill with ice, and pour back and forth in a Boston shaker to mix. Fill a tall glass with ice and pour in drink using a Hawthorne strainer. Garnish with sugared bacon, lemon wedge, and celery stalk.