Preheat oven to 325°F and prep a 9x13 inch cakepan with parchment paper and baking spray.
Place the heavy cream in a mixing bowl for an electric mixer fitted with the whip attachment.
Whip the heavy cream until it reaches stiff peaks. Transfer the whipped cream into another bowl and place in the fridge.
Next, place the butter, light brown sugar, and dark brown sugar into the mixing bowl fitted with a paddle attachment.
Cream the butter and sugar on a medium-high speed for 5 minutes, until light in color and fluffy.
Add the vanilla extract and mix until combined.
Next, add one egg to the batter at a time and mix on a medium-low speed until combined. Scraping the sides of the bowl with a rubber spatula after each addition.
In a medium sized mixing bowl, add the gluten free flour, salt, baking powder, cinnamon, nutmeg, and allspice. Whisk the dry ingredients together with a fork or whisk until everything is evenly distributed.
Next, add all the dry ingredients into the batter and mix on a low speed until combined.
Remove the mixing bowl from the mixer.
Add ½ of the whipped cream into the batter and using a rubber spatula gently fold the whipped cream into the cake batter until just combined.
Add the last ½ of the whipped cream into the batter and continue to gently fold until all the whipped cream is incorporated into the batter.
Add the batter to the prepped 9x13 inch cake pan and spread the batter into the pan using the rubber spatula.
Bake for 40-45minutes, or until a toothpick test comes out clean.
Let the cake cool completely before adding the cream cheese icing.