Whisk egg and water in a small mixing bowl until blended. Set aside.
Roll each thawed biscuit into a 6-inch circle. (A light dusting of flour on the rolling surface may help to prevent sticking). Place 1 oz of mushroom mixture and 1/2 oz of chopped ham on top of biscuit dough, leaving a 1-inch space from the edge. Place burger on top of mushroom/ham mixture. Top burger with 1/2 oz of remaining mushroom mixture.
Pull edges up and over mixture, overlapping the dough to seal.
Place seam side down onto parchment lined sheet pan. Brush dough evenly with egg wash.
3 whole Nature's Best Dairy® Egg(s), large
2 1/3 cups West Creek® Ham, Elite Black Forest in Natural Juices, chopped