Putting this item under review so we can investigate the scenario. Currently you can use Flow to automate posting. DRI/POC can be maintained in a list or file and message can be sent to Teams channels at designated intervals. For schedules as mentioned you might also consider using the Shifts app inside of Teams. This would provide additional features like shift swapping, activity lists for each shift etc.
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This feature would change a bitty irritating task spread out over each week into a 20 minute task on a Monday morning.