I'm not sure a poll will get you a solid answer, at least without a bit more detail to your question. Why are all other lanes doomed to fail?
If it is because they do not understand their matchups I would say ADC has the best chance, as even though the rest of the team lost they are still able to peel.
If it is a lack of skill jungle or mid would be best, as both are in a position to snowball both themselves and other lanes.
If they are too busy raging at each other to pay much attention to the match I would say top lane with either a heavy split pusher or a heavy snowballer.
And finally if you are a skilled enough support to carry you can handle just about any situation that doesn't involve an afk or your ADC being a troll.