Melt butter in a medium saucepan. Add the rhubarb and cook on medium-low heat until soft and broken down. Stir in sugar, vinegar, lemon juice, and salt. Cook for an additional 3 minutes. Let cool to room temperature before using.
Make the All-Butter Pie Crust:
Stir the flour, salt, and sugar together in a large bowl.
Add the butter pieces and coat with the flour mixture using a bench scraper or spatula. With a pastry blender, cut the butter into the flour mixture, working quickly until mostly pea-sized pieces of butter remain (a few larger pieces are OK; be careful not to over blend).
Combine the water, cider vinegar, and ice in a large measuring cup or small bowl.
Sprinkle 1/4 cup of the ice-water mixture over the flour mixture, and mix and cut it in with a bench scraper or spatula until it is fully incorporated. Add more of the ice-water mixture, 1 to 2 tablespoons at a time, using the bench scraper or your hands (or both) to mix until the dough comes together in a ball, with some dry bits remaining.
Squeeze and pinch with your fingertips to bring all the dough together, sprinkling dry bits with more small drops of the ice-water mixture, if necessary, to combine.
Shape the dough into a flat disc, wrap in plastic, and refrigerate for at least 1 hour, preferably overnight.
Wrapped tightly, the dough can be refrigerated for 3 days or frozen for up to one month.
Assemble the Hand Pies:
Preheat oven to 350° Fahrenheit.
Roll chilled pie dough out in a rectangle shape on a floured surface to approximately 1/8 inch thick.
Cut dough into forty 4-inch squares, re-rolling if necessary.
Top with a spoonful of the rhubarb filling.
Cover with another pie dough round and gently pinch the edges together.
Use the tines of a fork to seal further and to create a fluted edge. Cut a small X-shaped slit on the top of each pie with a paring knife.
Use a pastry brush to brush with heavy cream and sprinkle with raw or demerara sugar.