01 - Beat cream cheese, sugar, and vanilla extract in a medium bowl until smooth and creamy. Gently fold in diced strawberries and strawberry jam until evenly distributed. Refrigerate filling while preparing dough to maintain firm texture.
02 - Combine flour, sugar, and salt in a mixing bowl. Cut cold diced butter into the flour mixture using a pastry cutter or fingertips until coarse crumbs form. Gradually add cold water, mixing until dough comes together. Form into a disk, wrap, and refrigerate for 15 minutes.
03 - Lightly dust work surface with flour. Roll chilled dough to 1/8-inch thickness. Using a round cutter or small bowl, cut out eight 5-inch diameter circles. Re-roll scraps if necessary to yield all eight circles.
04 - Place a heaping tablespoon of chilled cheesecake filling in center of each dough circle. Lightly brush edges with beaten egg. Fold dough over filling to create half-moon shape. Press edges firmly with fork tines to seal completely, preventing filling leakage during frying.
05 - Pour vegetable oil into deep fryer or heavy pot to depth of 3 inches. Heat oil to 350°F. Fry pies in batches of 2-3 for 2-3 minutes per side until deep golden brown. Transfer to paper towel-lined plate to drain excess oil.
06 - Allow pies to cool for 5 minutes. Dust generously with powdered sugar while slightly warm. Serve immediately for optimal texture, or cool completely before serving. Best enjoyed the same day.