You can create a schedule flow to run daily at 12 am cst.
Within scheduled flow, you can set up a parallel branch and pause the flow for 240 mins using delay action. After delay just cancel the flow using terminate action. This way you can restrict flow to run only for given duration or hours.
You may refer the below screenshot for setting up the flow. Here I have taken 60 mins delay but you may change this duration value as per your requirements:
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