setting up a temporary shipping rate

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I'm tasked with updating our shipping rates whenever we have a temporary free shipping offer. I need to apply the change at 3 am, and remove the change once the offer has expired. I'm looking to automate this process, but looking in the app store I haven't found a solution. I'm curious if there is a way for me to set this up and have it expire without the need for me to stay awake until the wee hours.