Improving Evelynn
Evelynn is weak for several reasons, and I'm trying to not make a damage increase a way to address this champion.
The champion's current weaknesses are the following:
1- Target access. Her self reveal range is considerably larger than her E range, and the ramp up on her charm means a charmed target can be trivially bodyblocked from being charmed.
As a result, you have a wet toilet paper champ that needs to straight up run to a target's melee autoattack range to even trigger a charm or a premature snare somewhat reliably, and she's so squishy particularly with the jungle xp and level changes that she's getting straight up one rotationed by midlanes and ADC's without any fear of her as an actual assassin because her damage delivery is delayed.
Simply put, she's horribly unreliable as an assassin because she has to walk up to a target most of the time in melee range, by which point she melts before she can even get anyone in execute range.
2- She's incredibly vulnerable to invades, as her early game is among the weakest and she's completely immobile, meaning she can't disengage at all pre-6. She's suffering a lot because she can't even get started as a champ. Her only kill potential because of her current downfall is whenever her 90 sec+ cd is up. My kill potential as Kha'zix, Shaco, or Rengar is up regardless of ult, the ult is just there to facilitate, because much of Eve's damage is backloaded into her execute with ult, which is weak anyways as even with the execute range I've had midlane Ahri's survive the ult with a sliver of health.
So, to fix her, instead of upping her damage, 2 possible solutions to allow her to better function in terms of engagement.
1- Her demonshade gains 15-25 bonus movement speed and her E dash is the same range as her demonshade range.
OR
2- Her E gets to function like Rengar and gives her the speed boost as an active buff whenever activated and pulls her to target as usual when in melee range. If not in melee range of a target, when the speed boost expires the skill goes on cd regardless.
AND
3- Her R cd is reduced to a baseline 90/75/60 sec cd so she can teamfight more frequently. She's simply a useless champ mid to late game in skirmishes and teamfights without her ult.
These changes give her on the first option better, more reliable engage with E at the cost of exposing herself in melee range to the dangers of a frontline to get her E charm combo.
The second option doesn't improve her engage as much, but gives her the option to reposition and deal with jungle invades much better by being able to more reliably disengage without the need of her ult while in the jungle.
The third change is because quite frankly Evelynn's ult is severely undertuned in CD for how much evelynn relies on it to have any kill pressure at all, compared to Death Mark or virtually any other assassin's CD.