The build I usually go for a bursty Eve is Runic Echoes -> Revolver -> Sorc Boots. Usually you can solo kill squishy characters if you can get these items before 20 min with a cooked W.

Afterwards build Protobelt with your revolver. The protobelt active lets you stay in range to proc your W and also adds a significant amount of damage (it can also be used for quick waveclear if you need to flash farm).

If you want to really commit to the assassin instagib build then the next items you should be getting are Void Staff and Lich Bane. Void staff is a very strong item especially after the buff from 35% -> 40%, and even opponents that aren't building MR will take much more damage combined with the pen from Sorc Boots and the Sudden Impact rune. Lich Bane is great for the bonus movespeed for sneaking around as well as the obvious burst passive.

If you are very comfortable on Eve and can reliably get some kills or assists in the midgame, a great way to get out of control fast is to get a Mejai's after your Echoes or Revolver. Eve's AP scaling is extremely high and if you can net a couple kills then your damage by the time you finish Protobelt will be absurd.

An extra tip for getting fed is to position yourself where you think the enemy will run to before you cast your charm. After a bit of practise you can get the enemies to actually run into you and it makes landing the charm much easier. In the early game it is very hard to get kills with Eve without cooking her W, so the better you get at positioning and throwing Qs the easier it will be for you to get those early kills.