As you may have guessed, Jungle has the most potential for massive impact on the early-game. If you're trying to go for Gold as quickly as possible, that might be your best bet.
However...
Getting to Gold quickly does not necessarily mean you deserve to be there. If you intend to just "ride the FreELO Train" to climb as fast as possible, don't expect to stay there long. Keeping your place means learning more and more about the game. You'll need to be able to play a minimum of two roles competently, with a diverse champion pool for each.
If you climb quickly because you're playing "OP" or "Flavor of the Month" champions, you'll soon find that your matchmaking level exceeds your actual ability, and you'll have a very rough time. Better to climb slowly, knowing that you earned your rank through hard work and patience.