before neem i'd try spinosad. Captain jacks deadbug brew is my favorite, because it targets a myriad of pests.
I also bought the turbo spreader sticker which is a wetting agent, if outdoors you can mix all this in your mixer sprayer and get rid of things.
things to know is have the plant watered first for at least a half hour, that'll reduce water intake through leaves. Now i get all the leaves wet with water (night time or early morning is best time to apply, no sun, also you want as little wind as possible.)
as the leaves start to dry now i apply the pesticide, this will give it extra time to set in and do work. Your goal of pesticides is to have it stay on there as long as possibvle with the correct mix ratio.
i repeat this a week later, giving the plant a few rinses inbetween to keep the Stomata clean
now after it rains, i get some sluggo plus and go around the perimeter of the grow with it. (spinosad laced Dry noodle) The moisture from the ground saturates the noodle and attracts slugs, earwigs, and other pests that get to your plant from the ground.
Spinosad is systemic which means it will not actually kill the bugs but it will stop them from reproducing (some bugs it does kil though )
This is much safer than neem and will give you the natural application u wanted