*If you're concerned about salmonella poisoning, use pasteurized eggs. These can be purchased, or you can make them at home (Google it).
If you don't have an ice cream maker, you could try freezing the mixture in ice cube trays, then blending the cubes in a high-powered blender. You may have to add some almond milk or cream to get it to blend. Stir in the cookie crumbs and chocolate by hand after blending.