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I'd like to suggest that there should be an option here to become a member. Let's say we gotta pay real money for at least 2-3 dollars. However, there should be advantage we get for it.
Like: Players below level 30 could play a ranked game and they get extra 2 free to play players. I don't know how much champions you could select without purchasing them but being a member should have an advantage to have extra 2 picks or they get to play an expensive selected champion or any champion in a game. Once the member expires, that advantage will fade out.
Another thing: Paying a membership should gives us an advantage to earn more IP. Say, normal members could earn 70 - 130 IP (win or lose) but when you are a member it'll be doubled.