Whip the cold heavy cream to medium peaks; set aside.
Beat the softened cream cheese until smooth and fluffy.
Mix in pumpkin puree, confectioners’ sugar, brown sugar, pumpkin pie spice, vanilla, and salt until creamy.
Fold in the whipped cream gently in two additions until light and airy.
Spoon into cups, top with gingersnap crumbs if using, and chill at least 30 minutes.