I pretty much just go an ability power build with Ezreal.
When I attack a Champion I hit them with Essence Flux (with this build this is the attack that does the most damage besides the Ult of course), Then I get close with Arcane shift. By this time most ranged Champions are down below half heath. The Champions with higher health normally between a forth and a third of their health is knocked off. I sometimes try to use mystic shot but it doesn't do nearly the damage that Essence Flux does. After the Arcane Shift Essence Flux is almost ready again so I move myself back to draw them out a little. I use Essence Flux. Dropping their health low enough for Trueshot Barrage to take them out. When you aim Trueshot make sure u watch the way they are running. I needs to be a direct hit. That's basically what I do and it works pretty well. Hope it works for you.