Low FODMAP Frozen Peppermint Bûche de Noël - FODMAP Everyday

Ingredients

• 1 cup (198 g) sugar, (divided)
• ¾ cup (87 g) low FODMAP gluten-free cake flour, (such as King Arthur Flour Measure For Measure Flour)
• ¼ cup (21 g) sifted natural cocoa, (plus extra for pan)
• 1 teaspoon baking powder; (use gluten-free if following a gluten-free diet)
• ¼ teaspoon salt
• 4 large eggs, (separated)
• 2 tablespoons neutral flavored vegetable oil, (such as canola)
• 2 tablespoons room temperature water
• 1 teaspoon vanilla extract
• 1/8 teaspoon cream of tartar
• 1 ½- quarts (1.4 L) lactose-free vanilla ice cream
• 2 teaspoons peppermint extract
• 1 cup (140 g) coarsely crushed hard peppermint candies (or candy canes, any color you like, divided)
• Red food coloring, (preferably paste or gel type; optional)
• 5 large egg whites
• ¼ teaspoon cream of tartar
• ¾ cup (149 g) sugar
• ½ teaspoon vanilla extract
• 1 cup (240 ml) Dark Chocolate Ganache, (warmed and in a pourable state)