I have had spider mites a few times, and I've never seen a time when NEEM OIL failed to get rid of them, NEEM is some good stuff. If you want to go all natural, you can brew Worm Tea. Worm castings has a chemical in it called Chitinase. The enzyme chitinase will dissolve chitin and chitin makes the exoskeleton of a bug. If the level is below detection then it is not toxic to the bug and they can NOT detect it. Increase the level of chitinase above this level and the bug is repelled by the nectar of the plant rather than attracted to it. That chemical will dissolve the spider mites from the inside out. I use worm castings like crazy and never had an infestation of spider mites since I started using it. I spray worm tea on top of my leaves and underneath my leaves once a week. I also water with worm tea once a week and take the wet balled clump of worm castings out of the panty hose from which I make worm tea with and spread the wet castings over the soil as a top dressing. So my plants are getting dosed with Chitinase through the leaves and through the roots. I have had a light touch of spider mites here and there since I've used worm castings and worm tea but I've never had a mass spider mite infestation since I've been using them.
Before I used worm tea and castings I had a few bad cases of spider mites but NEEM OIL always took out the whole colony of mites.NEEM OIL can slow down plant growth because it clogs the stomata of the leaves up, and this is why I don't like to use it as a first line of defense.