If you go AD eve have fun not being able to do anything with your shitty burst.
Its a mix of everything
basically build a malady, rageblade, Madreds, and Wits End if necessary.
Level the hell out of hate spike. Your ult is your bread and butter now be careful when using it.
your getting damage from malady every time you, you have rageblade which is +45 dmg, and you have madreds which gives +30 and 4% of their life everytime you hit. Plus do not forget you should be spamming hatespike which is another 85 damage before adding the ap. Plus you are basically at max AS with your ult on
I can say as of lately I've played with a few eves and I think her best role is counter jungling. I played one game where our eve went something like 19/3/8, she just wandered the map ganking anyone that stepped too far out. She also countered the other teams twitch incredibly well and was probably the deciding factor in our teams win.