The neem oil will work but it's messy and needs to be done several times.

The best thing and organic for thrips is pyrithum and can be applied a few days before harvest. Doctor Dooms is the best but any all pyrithum bombs will work. Thrips are easy to get rid of. Hope you don't get two-spotted spidermites.

The next best thing I found was Azamax. It is the concentrate of neem oil. Easier to work with and more effective than just neem oil.