At least a reddit post claimed in Ohio you must relay Flash Flood and Tornado Warnings. I can't find the exact clause anywhere tho.I was not aware of this. Which states, and what is the specific requirement?
I know that locally, in the Palm Springs, CA, MSA most if not all stations have stopped running weather alert as they were incessantly "activated" by alerts for areas as far off as the Arizona border or the High Desert up to Barstow, all of which are irrelevant here and tended to both frighten people and then make them ignore valid alerts.
To solve the alerting for too wide of an area the National Weather Service came up with the idea of partial county alerting but i don't think it works for broadcast radio Partial County Alerting
Perhaps it could be adjusted for your projected coverage area.
It's not used in many places.