Raging Through Pings
It's something that's become a little more common lately, people spamming pings to show discontent with their allies. Either someone alive will ping someone on their team who died or someone who died will ping their allies for "letting them die." This is clearly either done so that people with a chat ban can rage at their allies or so that someone can rage at their team without there being anything in chat to ban them for. While I'm fairly confident that even aggressive pinging isn't something you're able to report someone for (If someone could verify this for me please), I do think there's something that needs to be taken into consideration from this new trend.
Riot always talks about not wanting to implement various features the community suggests because many of them open up the potential for abuse, or have some kind of trade-off that some may not be eager to bear. The way I see it there could be three ways of situations like this being handled.
A: Riot should make it so that muting someone also mutes and hides their pings.
B: If aggressively excessive pinging is not something that is ban worthy, whenever someone starts doing so because of their rage/tilt you should ping them twice as much.
C: If aggressively excessive pinging is something that is ban worthy (which I don't believe is the case atm), finish games as normal and report the offender after the match.
I believe A would be the best case scenario here as pinging functions incredibly similar to chat. If someone on your team has proven that their words will be unnecessarily aggressive, we currently have the means to hide their words. Seeing how chat and pings are both means of communication, the justification for hiding pings is the same justification for hiding chat. I know some people may advise turning off the volume for pings in the options menu, but pings are an effective means to communicate quick messages to allies. There's no reason you should have to inhibit your communication to your whole team because one person on your team needs anger-management classes.
B is a more vigilante-esque way of handling the matter that I only recommend if Riot doesn't implement A (or if such pinging is reportable). People always say that they want to yell at the person on their team who is intentionally feeding or afk in fountain, but everyone knows that while their "ally's" actions are reportable, so would theirs if they did start yelling. If pinging like this is not reportable, then someone whose raging like that deserves a sound reminder of the golden rule.
If I am mistaken and Riot has expressed somewhere that these actions are reportable, and please provide a source because I'd be a little skeptical, then C would be the action I advise above the others (though A could still be implemented). The standard mute+post-game report is the ideal way all reportably toxic behavior in this game should be handled.