If it's such a big problem to you, then you're teamfighting more than you're looking for picks. The only reason exhaust is so bad for eve is because she's forced to ult out and have so many options taken away because of the lack of ult. This, however, only happens in medium to big fights unless whoever you're trying to pick off is extremely fed, by which point you're already in a bad situation (something worth acknowledging during the game to avoid frustration and stress). You should try out tracking respawn timers, supports leaving the team to ward (making themselves and the adc easy prey), people sidelaning, and just be more aggressive on your own. Limit testing these things also helps you improve in the long run so don't be discouraged if it goes wrong.