Using a stand mixer or hand mixer and large bowl, whip the heavy cream until soft peaks form (do not over beat or you will have butter).
In a separate bowl, whisk together the sweetened condensed milk and 2 teaspoons vanilla extract OR 1 vanilla bean split in half lengthwise, using your knife to scrape the beans out and add to the bowl.
Gently fold the condensed milk mixture into the whipped cream until completely combined. Pour into a 10-inch loaf pan and freeze for 1 hour.
Roughly chop two pieces of peach pie. Remove the ice cream from the freezer and gently stir in the pie. Return to the freezer and freeze until firm, about 4-6 hours.