Diatomacious Earth is a great 'natural' choice to battle soft bodied insects but wont do much to the eggs (might dry them out if your lucky). DE usually works best with the movement of the bug (it basically cuts into the bodies to dehydrating them), a slow and painful death, but death non the less
Best way to use DE is to 'spray' a really fine "dust" over them, I found an old Ketchup/Condiments bottle and put a tablespoon of DE powder in it, tip/pat/lightly squeeze to disperse a fine "dust/powder spray" over your problem area
Next time I have to battle mites, I'm just going to go outside and collecting some Lady Beetles, they love to eat those pesky bugs and eggs
Also don't know how well it will work on Mites, but there are a few home made Bug Traps that you can make, a plastic card/cup spray paintedyuNeon Yellow with some Tanglefoot Tree Saver sap stuff layered on it... traps (most) bugs 'naturally' for months at a time