Toss the diced peaches with the granulated sugar. Cover and refrigerate 1 hour.
Drain the juice into a heavy-bottomed saucepan, reserving the peaches. Whisk in the cornstarch, cinnamon and salt until smooth.
Cook over medium-low heat, stirring constantly, until simmering. Stir 2 to 3 minutes more until thick and glossy. Off the heat, stir in the lemon juice, almond extract and vanilla. Fold in the peaches and cool completely.
Press one crust into a 6- or 7-inch air fryer-safe pie pan, leaving the overhang. Optional: par-bake at 300°F for 5 minutes and cool briefly.
Add the cooled filling. Top with the second crust trimmed about 1 inch wider than the pan. Fold the edges under, crimp with a fork, and cut 4 vents.
Whisk the egg and milk and brush over the top. Sprinkle with turbinado sugar if using.
Preheat the air fryer to 320°F. Set the pie in the basket on a foil sling and air fry 20 to 25 minutes, until deep golden and bubbling through the vents. Shield the edges with foil at the halfway point if they brown too fast.
Cool at least 1 hour before slicing.