How can I stop charging shipping tax on tax-exempt items in New Jersey?

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I have a coffee bean online shop based in New Jersey (USA) and Coffee Beans are considered tax exempt in NJ. I have the product override setup correctly for NJ but I still have tax being generated on shipping. Is there a way to correct this for a specific product and state? Similar to how product overrides work. Or is there a way to simply set it up to not calculate shipping tax if tax is not being calculated on the items in cart? The only shipping override i saw was for the entire state but this is not correct. I have other merchandise like a mug that would not be tax exempt and product as well as shipping taxes should be applied for these items.

Thanks,