Peter has never, ever, had enough anger at Brock to try and kill him (before he became Venom). So We wouldn't see anything to that extreme.
However, we would see instances that I already described in my above posts. Pete would be annoyed that Brock is competing with him to get pictures of Spider-man, so under the black suit, when he sees Brock, he smashes his camera (like in the movie). Of course now smashing the camera is a bigger deal because he needs to get Spider-man pics to help his daughter, cameras cost money, he doesn't have any. Brock keeps trying to tail Spidey. Spidey get's annoyed, tells him to stay out of his way and them webs him upside down to a lampost, humiliating him and making it so Brock can't get pictures of Spider-man. Maybe Brock actually does take some pictures of Spidey doing something that looks incriminating, Spidey gets really pissed and finds Brock and threatens him, ect. ect.
Stuff like that, that would build up, until finally, when Brock steals Pete's pictures to get the money he needs, and when Pete gets him fired, all of it weighs on him and he snaps.
You wouldn't see Peter going after Brock trying to kill him, because even under the black suit he would never go that far. I would change scenes of that to Harry. Spidey beats the crap out of Harry and then nearly kills him, (and I'm talking more then the pumpkin bomb throw, I'm thinking something like, after the big fight, Harry is pretty much lying there, helpless, and Pete is standing over him with one of his own goblin swords seriously considering ending him) and then he realizes how far the suit is pushing him.
It wouldn't be appropriate to see Pete get to that level of anger with Brock, but he would do lots of very mean and ******* things that finally cause Brock to snap.