idk anything about the routes, but Elise is possibly the best early diver and ganker. She relies entirely on her level 3 to level 6 to get her laners ahead. However, Elise isn't in the best spot right now, but the comeback of tanks in the top lane gives her a nice lane to snowball.
Rek'sai is probably the best early skirmisher at the moment. Most of her damage is unavoidable and she has a lot of early pressure. Her ganks are solid and her ability to sense ennemies is simply insane. Also, her ability to counter-gank is impressive. You should be able to get to any lane and counter-gank before the ennemy jungler kills your laner. Both those champs do not require items to perform well. If you play them well, you should come out on top and win most early games. She may get nerfed soon, but I believe she will always be good if they keep her ultimate the way it is.
Eve is litterraly the opposite of those two champs. She cannot gank really well early and relies on her team to have early pressure so she does not get invaded. She is a mid-late game assassin who relies on completing 1-2 items in order to show off.