No, there is no right to a fair "trial by media". Quite the opposite in fact: restricting the media to a government-defined standard of "fair" would infringe upon a free press. In general, the free press is most important when it is reporting on a legal situation that opposes the government's narrative.

The right about trials is about a fair trial by the government, and is a check on the government's power to punish.

NO, I disagree the right of a fair trial holds regardless of the system. it's about the accused not the system. otherwise lynch mobs would be justified.

Being publicly criticized for your actions is not the same as being lynched. Please stop.

A lynch mob is not justified because a lynch mob goes on to enact punishment, usually via hanging, which is murder.

If you are using the word "lynch mob" in a rhetorical way to refer to people who are not depriving you of life, liberty, or property, arguments about actual lynch mobs do not apply. A so-called "lynch mob" that merely has opinions about you and does not do anything to you is not unjust any more than a high school mock trial club is unjust. A so-called "lynch mob" that has opinions about you and goes on to do entirely legal things, like exert their free speech rights to publish their opinions about you, is not unjust, either.

responding now might be inappropriate but for the record: one of the main premises of my response is that public ostracization is used as a form of punishment. ( I stated if in one of the previous comments).

historical data support my claim as wikipedia points: "Public humiliation is the dishonoring showcase of a person, usually an offender or a prisoner, especially in a public place. It was regularly used as a form of punishment in former times, and is still practiced by different means in the modern era."

"Trial by media" is not an actual trial, it's a term made up by people who don't like how the media is covering things.