Make the fill position repeat no more than three times?

Maybe this has been proposed already, but from personal experience it can be rather enraging when you put your role down as fill, and receive support literally 9 out of 10 times. It would be nice if perhaps I even got to play jungle, probably the second least desired role at least once in between support matches. I don't mind supporting, but after quite a number of games as "fill" it gets disappointing when all I'm playing is support. So how about this?:

1. Create cycles of roles. For example, support 6 times, jungle 3 times, other roles 2 times.
2. Once a player has completed a cycle, it resets, and the chance of getting one role is reset to base values.
3. Players may not dodge the game once it has commenced at all in order for the system to create a check mark on that role.
4. And maybe Riot could offer a reward system. Like a bonus key fragment when one completes a cycle. That would be fun!

Criticism? Comments?