Zakk wylde kicks ass, but I've heard very little of him, his album book of shadows, a lot less heavy and shreddy than I had expected, is this one of his lighter offerings? Any recommendations?
Back to the subject though: harmonics. Here's another method to try. Fret with the first finger of your left, then lightly place the little finger of your left on the string 3,4 or 5 frets away (strretttchhhh). Nothing wrong with using pinch harmonics but this might help you move from one harmonic to another quickly if you combine it with pinch harmonic.
Another idea, use your 3rd finger to pluck a sting covered lightly by your 1st, voila, harmonic. Nothing to stop you pinching with your right but I've not tried it.
One more thing, having learned where to find harmonics with your right hand and knowing just how you like holding your pick try it with your left from over the top of the neck at the bridge end. combining the two you can now play unfeasibly ludicrous harmonic runs. Can't do this well yet but I'm learning.
Pretentious, moi? Oh yea!