Could not load into game, restarting client, reconnecting, nothing works

I was in champ select for an ARAM game. Someone dodged at the last second so I was placed in queue for another game. That one started but my game never even loaded. It crashed back to the client with a Reconnect button. Trying to reconnect just caused it to crash over and over again. I closed the client and made sure all processes were ended. Once I logged in, it tried to launch the game but I still kept crashing and got the Windows "League... has stopped working" error. Nothing could get me into the game.

EDIT:

Team lost the game before I could finish repairing. When I finally launched the client again, as soon as I logged in I was in a lobby for ARAM already. Something buggy with ARAMs and dodges?