Aatrox had too many extremities in his kit for there to make room for any real balance.
Draintank
Full Revive passive
Aoe + CC + some mobility.
Aatrox should be a great duelist with a "turning the tides" teamfight playstyle. Not the best duelist but in the top 10 at least (having some real room to outplay enemies in 1v1's or even 1vX's.) This actually flows well into the latter style of his kit which should be good at fighting multiple enemies who may already be running low on steam.
Note: I do not believe or have ever beleived Aatrox should be some kind of pseudo support champ with team buffs. This has been some unfair twisted interpretation of Aatrox' lore and I find it a bit unfair to people who where on board with Aatrox' actual and fleshed out design. He was meant to be suicide diver.
For this reason Ive always felt aatrox could use an Executioner style kit. Something that allowed him to perform on the scale of Riven, Garen, or even Darius. Now I know there are mixed labels given to these champs. Darius and Garen are juggernauts while Riven is a skirmisher and Aatrox is a dive fighter. As much as Aatrox' kit screams dive fighter, this implies he should be initiating fights. I don't really think Aarox should be an absolutist in that category. Riven can actually perform as a dive fighter at certain stages of the game if she's ahead. Aatrox should be the same. He should really excel at jumping in a fight that is more chaotic (rather than the standard teamfight at mid where both teams gather and are well prepped). Aatrox should excel the same way Riven does in teamfights which is catching fleeing enemies, executing low healths and just completely taking advantage of mistakes and poor positioning.
Aatrox was designed to jump onto a clutter of enemies and blow all his cooldowns on them and die. He's a suicide diver. This is cool in essence and I myself have thought of various ways to make this possible but doesn't seem to be an easy thing to make.
The reason is because Aatrox has too many glaring weaknesses to balance out the rest of his kit. He is overly susceptible to CC which sticks out like a sore thumb as an easy target. It makes him far less "initiate"-worthy to begin with.
If a suicide diver is still his forte, why not make him more explosive? Literally. Something that happens when he dies to enemies around him. It makes him less appealing as a focus-down target if they enemy team has to take some serious consideration of their teams positioning. That's the best suggestion I could give there.
If he's to be something other than that, I'd suggest a skirmish executioner kinda like Riven. Somebody who can get in and excel in the mix of and perhaps dysfunction of a fight. Otherwise you're just trying to make a whackem bot whos teamfight initiation is worse than every other dive fighters the likes of Renekton and Malphite. He's less tanky than every dive fighter (making him more susceptible to CC) and overall has a rather dull playstyle designed to deliver the same 1-2 punch every time. If he can't do that then he's pretty much not doing a whole lot other than perhaps pushing top lane. (zZzzZ....) He needs more wiggle room. I say drop the revive passive and start building a more skirmish-intensive champion.
Again, the suicide diver is a cool idea. I just don't think it is doing well on aatrox who's meant to be a sword-wielding full-combat-oriented kinda dude. A suicide diver would suit a jungler more or some kinda burst heavy champ (Assassin).