It's not that you can't get inspired by news, but I wouldn't say your story is based on the case. It sounds more like the kind of thing white people who murder black people believe - that black people are all very dangerous and would kill all white people if they had the chance, so better kill all the black people sooner rather than later. Hence black people getting murdered for playing their music too loud, asking for help after an accident and walking down the street. Because they must be up to something... they're black!
So I'd urge you to think again about your plot, because it's supporting the stereotypes that lead to such cases in the first place. But if you must write it, don't reference the case, out of respect for the family and community involved. You're not writing a story that's going to be respectful to them.
Boy, do we have different views of reality. Since the Marin case, I've lost count of how many black people said they would love to start shooting every white they could find, if they knew they wouldn't get caught. I find it understandable to a degree, but it has happened repeatedly. There have also been beatings, and even a few shooting, that resulted from the case.
It's no more unrealistic to have a blacks, or blacks, start murdering whites because of this case than it is to have a group of white supremacists start murdering blacks.
There are a lot of white racists out there, but there are also a lot of black racists, and most stereotypes happen because ta large degree of realism created the stereotype in the first place, whether it's thinking southerners are all members of the KKK, or thinking that it's a good idea to cross the street when you see a group of blacks coming your way when you're in a high crime area.
A fair number of southerners are members of the KKK, and many others are racist. And in an inner city high crime area, chances are very large that blacks commit most of the violent crime. The great majority of southerners are ownderful peole, and the great majority of blacks are, as well, but many of both are racist, or are extremely violent, and there's nothing wrong with writing a story that says so.
I write about the world as it is, not as I would like it to be, and if it actually happens, or if there's a likelihood that it can or will happen, I'm going to write about it.