Whisk together the sweetened condensed milk, salt, vanilla extract, and several drops of blue food coloring in a large bowl.
Use a mixer to whip the heavy cream until stiff peaks form. Fold the blue mixture into the whipped cream, adding a little at a time.
Chop the Oreos and Chips Ahoys into chunks. Add most of the chopped cookies to the creamy ice cream.
Transfer the ice cream to a bowl or loaf pan. Sprinkle the remaining cookies on top.
Freeze for at least 4 hours or until set. Add the ice cream to a cone or make it in a bowl with your favorite toppings!