I am no expert but not all images etch nicely in slate and shapes that occupy a large percentage of the total area seem to come out the worse for me. I tend to think of slate etching as mini explosions that will not create shads of grey.
People (dogs , cats, birds) with dark hair and dark cloths are somewhat better than those with light hair and light cloths. You may try shrinking the photo, enhancing the outline, removing all background or just switch to wood.