Real Aatrox Ideas to Fix Him

Theres are just a few ideas i have to bring aatrox back into a somewhat competitive state because lets face it... hes not at the moment

I'm NOT saying implement these ideas TOGETHER but maybe take one of them, or morph it a little, again these are just some suggestions

1: The first thing i notice about Aatrox is his inability to proc his W's damage ( blood price ) on towers. Now i know alot of people will argue that no other champion gets to have procs on towers such as jax's third hit proc from his ults passive, and i understand that, but aatrox needs some sort of niche to fill, and in his current state having the power to actually push a tower would be one amazing idea that wouldnt make him OP but it would actually give him a reason to be chosen over other auto attack based champions such as tryndamere

2: Another tower push idea would be that when he builds hybrid items such as gunblade, he gets the AP and AD damage to towers. Currently Aatrox no matter how much AP he builds, can only get a duo damage proc if he builds nashors, i feel like just like the first suggestion this is another way to bring aatrox back into being a viable pick.

3: Give the portion of his Q where he flies straight up the sameg effect as fizz's E where he becomes untargetable ( ONLY DURING THE VERTICLE MOVEMENT ) this would help keep a small window open to still effectively CC aatrox, but it would actually bring a use to his Q as an escape tactic, or more solid dive tool / initiating tool. Currently the amount of time it takes aatrox to move with his Q leaves him FAR too vulnerable to counterplay from the vast majority of the games champions.

4: Remove the self damage from blood price and slightly lower its base damage ( 75% of current, DO NOT TOUCH THE RATIO SCALING PLEASE ) there is no reason to have it, late game its barely noticable, but has a huge impact early game and mid game which is why most aatrox players do not use blood price, but instead keep blood thirst on all the time. By removing the negative aspect of the proc, it would give aatrox a little versatility in his choices without causing extreme shifts in him being under powered or over powered

Again these are just a few ideas, he doesnt need an overhaul, he just needs a tweak in the right direction. Please take these into consideration