Wrap the dough in plastic wrap and refrigerate for at least 30 minutes.
Caramel Sauce
Using a small saucepan, melt the sugar into the water on medium heat. Cook about 5 minutes, stirring until the sugar is melted.
At this point, take off the heat and add the cream. Stir until incorporated. It will bubble profusely.
Put back on heat but lower it to medium-low and cook for about 15 minutes or until the candy thermometer reads 250 degrees. Remove from heat and add vanilla and then butter, one tablespoon at a time.
Mixture will thicken as it cools.
Pie Filling
Peel and slice the apples.
In a medium bowl, stir together the sugars, cinnamon, vanilla and nutmeg. Add sliced apples. Mix until the apples are coated.
Putting It All Together
Preheat oven to 350 degrees.
Lightly flour your counter surface and roll your pie dough to about an ⅛ inch thick. This doesn't have to be a perfect circle.
Transfer dough to cookie sheet or a pizza stone. Put the apple mixture in the middle of dough and spread out to about 1 1 ½ inches from the edge.
Roll the edges of dough up to hold in liquid.
Cut the butter into cubes and place on top of the pie.
Sprinkle the flour over the filling. Use cream to cover the edges of the pie (you can also use an egg wash).
Bake for approximately 1 hour making sure the apples are tender and the crust is golden.
Once the pie comes out of the oven, drizzle caramel over it. The hot pie absorbs the caramel.
Once the pie has cooled, drizzle it again with the caramel. Enjoy.