All of the above advice is sound. I've had my battles with spider mites over the years. I am rigorous about my use of Neem in veg and the 1st week of flower. I have had great success with Neem both indoors and out (in my raised bed veggie gardens) for controlling pests. Works great on roses...
That said, Caps Bennies do the same thing with less risk of affecting flavor (since Neem has such a strong odor profile some fear it will affect the taste of their end product, never has for me. Both in cannabis and with vegetables). Caps Foliar really looks to be the bomb and the way to go if you're looking to mitigate your risk.
Now, Neem is not a magic pill. It will not help you if the infestation has already established itself. Neem really only works if you've been using it preventatively from the get go. To tackle an in-progress infestation (i.e. you see webs) you're going to need to use a more heavy-duty pest control solution. I'm sure there is a TON of info on these forums that can guide you as to which you might consider "safest."
greener