Wilvanis, i still dont understand why you want attack speed. You said to kill carries? I can literally 3-4 hit carries. With my ult and ambush proc, that doesnt take long at all. The 600-800 dmg per shot makes mowing down an entire team easy. That includes the tanks.
I usually rush an IE, and then boots or a cloak. Once I hit 58% crit chance from a cloak, IE, and runes, I am critting constantly. I outdamage nearly every twitch I see, even if they have more kills. I have had atk speed twitches pop up behind me, get 1-2 hits in, and then die after I turn around and shoot them 4 times. Also, having a bit of lifesteal isn't as terrible as you say. Its not supposed to keep you alive for teamfights, but it makes it so you are almost ALWAYS ready for a fight. I dont get lifesteal unless the game is ridiculously long and I have nothing else to get though.
Also, I dont understand why none of your opponents are saving any cc for you. I mean sure, maybe you got good positioning or you show up late, but a team with an oracle will see you, and if they don't, then youre probably too far to get there in time anyway. I find it hard to believe teams will let you mow them down without trying to focus you.