My solution to Trolls/AFKs
Add a separate new service that is exactly the same as LoL is now, except that it costs $15-25 per month.
What would differ from the current free service: Not much really. But the money would go towards a dedicated staff to handle reports of toxicity/afk/trolling and be equipped to handle such things in s much more prompt and succinct manner than it is currently handled.
Why would this help: I think that a majority of people trolling/afk/toxic are doing it because it has no consequence. They are playing a game for free. At worst they may get a warning or ban if their behavior is extremely outrageous. However, from as much as I see this behavior on a daily basis I cannot believe it is policed that well. Likely, these type of players will not be willing to pay to play 1) because they don't take the game serious in the first place and will just play the free version and 2) because they wouldn't want the consequences attached. And if they did pay to play and they acted in the same manner they will receive swift consequences.
What would the consequences be for being toxic/afk in paid service: Warning and account bans from the paid to play service. The difference here is you are PAYING for that account. Thus you are losing money by getting banned. You will not be allowed to play in this game type again until you serve your full ban. Thus if your payment was set to expire in 1 day after being banned, you would have to pay for the next month and not be able to play until your remaining 13 days were served. This would hold true even if you decided to quit the service for a period of time. When/if you came back you would have to pay and still serve your ban. In extreme cases a person would be banned from ever playing in this pay to play service again.
Also, if you report someone you will get timely feedback on what their consequence is. This would be huge because I always feel like reporting someone now is worthless because you never know if anything even happened to them.
Why would anyone want to ever pay for this:
I for one would love this. I have a job and I can afford it. That also means I don't have time to play games all day and when I get on I want to enjoy my experience. I would be very willing to pay a monthly fee for this. I am not a pro by any means, but when I play I don't want someone flaming everyone from the get go. I don't want to be in the login screen and have someone say they are going to feed because they didn't get a certain role and know I am screwed to waste the next 20 or more minutes of my life (in which I cannot go AFK or risk being reported myself... irony). Again, the people who act like this, I believe, do this because it costs them nothing to do so. I strongly believe paying a decent amount (which is why I suggested $30-40 a month) would keep those negative individuals in the free version. At the very least, this would greatly decrease my chances of having afk or extremely toxic/feeding teammates due to the fact that you run the risk of losing money or other consequences.
Again, the free version will remain so I am not trying to ruin everyone's lives. Just improve those of people to are sick of some of the more negative aspects of the game. And all of this would be based on the idea that a majority of the revenue from the monthly subscription would go towards a dedicated staff for reviewing complaints/reports in a much more timely manner. Something which I believe would be easy to implement from Riot's point of view.
edit to change the price point to 15-25 from $30