1 vs 9 Arena Mode In League?

Just been thinking a lot about what I like and don't like in League the past month or so and I came to the conclusion that I just don't like the fact that I am required to have a team. I don't mind laning and trading with enemies, couldn't care less about getting ganged up on by enemies. I think most of the champions in the game are pretty awesome. Ultimately, when it boils down to it, what I hate is the unpredictable teammates.

In champion select you never know what you have to deal with (or work with). At times what someone can, or wants to play, conflicts with team synergy. Playing as solo in particular, this is a difficult hurdle to overcome (for me at least). Then there's the fact that everyone plays each champion at a different level. Is my Jungler a god or does he not know anything about the game? He might be Gold or even Diamond, but on another champion he isn't familiar with, he could also play like he's Bronze V. Different people think differently, some players charge in when you least expect it, and others won't help you at any point in time. These differences I absolutely loathe in any video game (not just League). For me, dealing with those are huge turn offs that make me begin to dislike playing a video game.

The only way I'd actually be feel relaxed and a bit more satisfied would probably be an Arena mode where everyone is the enemy (and you have zero teammates). Honestly, can't even give suggestions how to make something like that, but for me personally that's the type of mode I'd be sooooo much happier with than Summoner's Rift. Team play is cool with an actual pre-made team, but with a bunch of strangers it's much too frustrating (for me at least).

Would love to see a mode like this, any chance it could come about?