So I mean, then what's the appropriate radius from an event within which the local news should be allowed to report on it? 25 miles, 50 miles, what? We could limit such news to the boundaries of the school district which is impacted?

Imagine being related to a child who goes to a school at which there was a school shooting and having absolutely no idea about it.

Imagine hearing about school shootings by quality-degraded word-of-mouth instead of on live broadcasts straight from the source or through reading vetted, accurate, news/journalism articles which meet a certain accepted (and removed) standard.

Refusing to run news about such events has easy parallels to outlawing abortion: you're not going to make it stop happening, you're just going to make people have to go about it in messier, more complicated, less convenient, less accurate ways.

A child whose reaction to hearing about another child's suicide is to attempt suicide is a child who needs help, not a child who would be perfectly fine if they hadn't heard about the other one. I assure you the feelings they have which make them think suicide might be a good choice do not suddenly pop up in their skull in response to hearing about someone else who committed it.