Prepare a bowl with ice water. Bring water to a boil in a pot large enough to submerge the peaches. Once the water comes to a boil, reduce the heat to a simmer and gently add the peaches and let them blanch for about 30 seconds. Using a slotted spoon, transfer the peaches to the ice bath and allow to cool.
Once cooled, place the peaches in a fine mesh strainer over a bowl to catch any peach juice. Using your hands, or if needed make a slit in the skin with a knife, gently peel the skin off and discardSlice the peaches in ½ or quarters with a sharp knife and carefully twist and pull apart from one another and remove the pit and discard. Using your hand, or a fork lightly crush the peaches until you have a chunky mixture. Place in the refrigerator to chill while you whip the cream.
In a large bowl using a hand mixer (or in the bowl of a stand mixer using the whisk attachment), beat heavy cream, sugar, and 2-3 tablespoons of the juice from the peaches until stiff peaks form.
Spread a very thin layer of whipped cream onto the bottom of an 8" springform pan, then top with 16 of the gingersnaps. Using a pastry brush, lightly brush the cookies with a little of the peach juice. Cover with a ⅓ of the whipped cream followed by ½ of the peach mixture. Repeat with another layer of cookies, gently brushed with the peach juice, ⅓ of the whipped cream and the remaining peach mixture. Cover with the remaining 16 cookies and a final layer of whipped cream on top. Cover with plastic wrap and refrigerate for at least 4 hours and up to overnight.
Place the final 16 cookies on top, brush with peach juice, and cover with a final layer of whipped cream on top.
When ready to serve, remove the ring from the springform pan, garnish with sliced peaches and fresh mint and slice and serve.