Adjust rack to middle position and heat oven to 425 degrees. Line baking sheet with parchment paper.
In work bowl of food processor fitted with steel blade, pulse flour,6 TBS sugar, baking powder, baking soda, and salt to combine. Scatter butter pieces over and process until mixture resembles coarse meal, about 15 one-second pulses. Transfer to a medium bowl, add buttermilk and toss with rubber spatula to combine. Using a 1 1/2 to 1 3/4 inch spring-loaded ice cream scoop,scoop 12 biscuits onto baking sheet, spacing the 1 1/2 inches to 2 inches apart. Sprinkle biscuits evenly with 2 TBS sugar and bake until lightly browned on tops and bottoms, about 15 minutes. (Do not turn off oven).
Meanwhile, spread drained cherries in even layer in a 9 by 13 inch glass baking dish. Stir sugar, cornstarch and salt together in medium nonreactive saucepan. Whisk in reserved cherry juice and wine, and add cinnamon stickiest saucepan over medium-high heat and cook, whisking frequently, until mixture simmers and thickens, about 5 minutes. Discard cinnamon stick, stir in almond extract, and pour hot liquid over cherries in baking dish.
Arrange hot biscuits in 3 rows of 4 over filling. Bake cobbler until filling is bubbling and biscuits are deep golden brown, about 10 minutes. Cool on wire rack 10 minutes. Serve.