Peach Ice Cream Pie with Amaretti Cookie Crust

Preheat oven to 350°F. Coat 9-inch glass pie dish with nonstick spray. Mix finely ground cookie crumbs, 1 tablespoon sugar, and pinch of salt in medium bowl. Add lukewarm melted butter; mix to blend. Press crumbs onto bottom and up sides of dish. Bake until golden around edges, about 10 minutes. Cool completely in dish on rack.

Preheat broiler. Line rimmed baking sheet with foil. Coat with nonstick spray. Arrange peaches in even layer on sheet. Broil until beginning to brown, watching closely to avoid burning, 3 to 5 minutes. Sprinkle 1/4 cup brown sugar over peaches. Broil until sugar melts and caramelizes, rotating sheet for even cooking, 2 to 3 minutes longer. Transfer peaches and juices to bowl (leave any burned parts behind). Add 3/4 cup brown sugar, lemon juice, and pinch of salt to peaches; stir until sugar dissolves. Cover; chill until cold, about 2 hours.

Slightly soften ice cream in microwave on low power in 20-second intervals. Transfer to large bowl. Add broiled-peach mixture. Fold to incorporate peaches (peaches will break apart). Spoon about 2/3 of ice cream into cooled crust; smooth top. Cover and freeze pie and remaining peach ice cream separately until firm, about 4 hours. Using medium-size ice cream scoop, scoop remaining ice cream in bowl in level coops and arrange in concentric circles top pie. Freeze pie. DO AHEAD: Can be made days ahead. Cover and keep frozen.

Using electric mixer, beat cream and remaining 1 tablespoon brown sugar in medium bowl until peaks form. Sprinkle coarsely crushed amaretti cookies over pie. Cut into wedges and serve with dollop of brown sugar whipped cream.