If I get my current account back up to Plat or so, I might write a guide. But for now, I have a little advice for Eve players:

Don't be lured into the whole "must spam AP" trap.

Although skill-wise AP is the most effective build, it's absolutely not the best ranked build. 1) It puts you out of the possibility of a team fight, because once you start fighting, you'll be cc'd and killed before you can even ult.
2) It makes you rely far more often on using passive to heal, which results in you being in the fights far less often.
3) It actually slows your gold stacking, because once your jungle and solo fights end, your gold will dry up, making your late game miserable.
4) It does on average far less damage than other builds, because you just can't stay in a fight long enough, and because usually you're aware of this, you're far more timid about joining a fight you can't win, other than throwing a W.

The build I'm using actually borrows from how I used to play Eve, and it works.

I do get my jungle Luden's.
But I do not get a Lich Bane. Instead, if the team has some strong AD assassins or brawlers who normally would destroy Eve, I go Iceborne. Iceborn didn't affect old eve any worse than it did the old eve, since 1) It offered neither Ad or AP, and 2) because its sheen only doubles BASE AD, which doesn't change no matter what build you use. But what it does do: 20% CDR, tons of tankability, and a nice aoe slow, which better situates eve to keep her targets from running.

Then, to get a little more defense/but offensive, I get Zhonyas and Banshee's to round out her defenses, and to boost her AP to a respectable level. After that, it's pretty much up to the player what they want the 5th item to be.

The build's MUCH cheaper, much faster snowball and most importantly: It doesn't pop like a grape.

E ensures you'll do damage, especially when your opponents tight group (the % damage is an aoe)W ensures you'll set your team up for kills if you can't manage them yourself, and you can actually have a team fight presence. Q is good "enough" on this build, sitting around 300 AP to fuel it.

So far, I'm pulling about 35k damage games, which most Eves playing right now with meta builds is not NEAR what they are accomplishing on a pure AP cannon build. Their games are ending before 300 AP, even though they build AP, and they are either getting flopped hard on kill contribution/objective control, or their team is carrying the slack. They do manage 10 kill games, but that alone does not mean they are playing Eve well enough for ranked.

My games have near a 60% kill contribution; My last game was 16/7/21, and at my peak I was at 13/1/18 (team started melting to a Yorick whose wraith they didn't kill while focusing on the Cait hammering them)