organic farming uses pesticides, they're just organic pesticides.
There are many that are much more safe: neem oil, citrus oil, tobacco, salt water, baking soda water, chili powder, soap.
I think that the presumption of danger from pesticides derived from plants humans have been living alongside for millennia should be less than novel synthetics that may have only existed for a decade or two.
Certainly many 'all-natural' chemicals can be highly toxic, but because we have a history of interacting with the plants that produce them, most of these harmful chemicals we already have some idea that they may be dangerous.